SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: What is the height of the triangle, if the base of the triangle is twice the height, and its area is 225 ft2?


A ) 16 ft
B ) 19 ft
C ) 15 ft
D ) None of the above

Steps to derive

1 Let h is the height of the triangle.

2 Given, area of the triangle = 225 ft2
The base = twice the height = 2 × h.

3 Area of a triangle = 12 × base × height
 [Formula.]

4 225 = 12 × 2 × h × h
 [Substitute the values.]

5 225 = h2
 [Simplify.]

6 225 = h2
 [Taking square root on both sides.]

7 15 = h

8 The height of the triangle = 15 ft.



Hence the right answer is Option C

Click Here To Go Back


Few Other Questions -

  • How many vowels in the English alphabet have at least one line of symmetry?..
  • Which of the following words have a vertical line of symmetry, when the letters of these w..
  • The word DICE has _________line of symmetry...
  • Does the figure possess any line of symmetry?..
  • Does the figure have any lines of symmetry?..
  • Is AB a line of symmetry for the figure?..
  • How many lines of symmetry can be drawn to the figure?..
  • How many lines of symmetry can be drawn through the figure?..
  • How many lines of symmetry does the figure has?..
  • How many lines of symmetry does the figure have?..
  • Count the number of lines of symmetry for the figure...
  • Which of the figures do not have a line of symmetry?..
  • How many lines of symmetry does the figure shown have?..
  • Which of the figures can have more number of lines of symmetry?..
  • How many lines of symmetry can be drawn to the figure?..
  • Does the figure possess any line of symmetry?..
  • How many lines of symmetry does a circle have? ..
  • Which of the following line segments is the line of symmetry to the figure shown?..
  • Solve the proportion. 94 = 54a..
  • Tim can type 176 words in 4 minutes. How many words can he type in 10 minutes?..
  • Solve the proportion. 4.61.2 = p6..
  • Solve the proportion. n : 8 = 25 : 40..
  • Solve the proportion. 6 : n = 4 : 12..
  • 4 books cost $5. Use proportions to find the cost of 28 books...
  • Find the value of a, if the value of k in ba = k is 16 and b = 96...
  • Justin can do 10 math problems in 35 minutes. How long will he take to complete 20 problem..
  • A machine can produce 28 bars of soap in one hour. How many soaps does the machine produc..
  • The cost of 10 bananas is $6. Annie bought 40 bananas. Find the amount spent by Annie to b..
  • There are 3 girls for every 4 boys in a school. If there are 66 girls in the school, then ..
  • 3 out of 15 people wear glasses in United States. If the total population of U.S. is 280 m..
  • A musical store has 4 jazz CDs for every 3 classical CDs. If there are 80 jazz CDs, then h..
  • Jake completes a 400-meter race in 60 seconds. Find how much time he will take to complete..
  • A farmer mixes 5 liters of fertilizer in 25 liters of water. How many liters of fertilize..
  • Find the weight of 350 sheets of paper, if 150 sheets of paper weigh 10 ounces...
  • The average person in the United States uses 5 gallons of petrol in 40 days. Find the numb..
  • An average American eats 50 pounds of canned food in 120 days. How many pounds would he ..
  • On an average George spends $7 per day on food. How many dollars would he spend in an yea..
  • The Yellow Stone Park recorded 5000 visitors in last 3 days. Find the number of visitors v..
  • A person is paid $15 for working 3 hours a day. How much should he be paid, if he works 5 ..
  • A geography book has 1440 pages. Average number of lines per page is 24. How many lines sh..
  • The weight of 79 bags of rice is 1343 pounds. Find the weight of 15 bags of rice...
  • A piece of work can be done by 54 men in 16 days. In how many days can 9 men do the same p..
  • A road 212 yards long can be laid by 29 men in 9 days. In how many days can 522 men lay a ..
  • Find the missing number in the following proportion. 45 : 30 = ____ : 10..
  • a and b are directly proportional to each other and a = 25 when b = 5. Find a when b = 9...
  • Find the value of cos (11° 11′ + 17° 6′) in decimal degrees...
  • Find the value of sin (27° 21′ - 13° 6′) in decimal degrees...
  • Find the value of sin 32.72° rounded to four decimal places...
  • Find the value of tan 61.3° rounded to four decimal places...
  • Find the value of sec 18.21° rounded to four decimal places...
  • Find the value of cot 52° 22′ rounded to four decimal places...
  • Find the value of csc 194°30′ rounded to four decimal places...
  • Fin the value of tan 330° 29′ rounded to two decimal places...
  • Find the value of tan (19π) rounded to four decimal places...
  • Find the value of cos (78π) rounded to four decimal places...
  • Find the value of csc (45π)...
  • If sin θ = 0.826, then find the measure of the acute angle θ to the nearest te..
  • If cos x = 0.7408 then find the measure of the acute angle x to the nearest tenth of one d..
  • If tan A = 1.6254 then find the measure of the acute angle A to the nearest tenth of one d..
  • What is the value of sin(- 45° 40′) rounded to four decimal places?..
  • Find the value of cot (- 240° 26′) rounded to four decimal places...
  • Find the value of sec (- 300° 24′) rounded to four decimal places...
  • Find the value of tan (- 67π)...
  • If sec x = 1.3352 then find the measure of the acute angle to the nearest tenth of one deg..
  • If csc θ = 1.2554 then find the measure of the acute angle θ to the nearest te..
  • If cot B = 1.1263 then find the measure of the acute angle B to the nearest tenth of one d..
  • Find the measure of angle θ to the nearest ten minutes, if sec θ = -1.3791 and..
  • If cot x = -0.817 and - 90° < x < 0°, then the measure of the angle x to the..
  • A surveyor obtains an angle of 51° 41′ between two merging roads. Find the cosin..
  • The table shows the number of students (in millions) enrolled in elementary, middle and hi..
  • The intensity of an earthquake is recorded using a seismograph on a special scale called '..
  • The bar graph shows the monthly sales of an automobile dealer in thousand's of dollars. In..
  • The number of teenage boys and girls, who like different music styles, is represented in t..
  • Factor: 4x2 + 21x + 20..
  • Factor the trinomial. 72x2 + 17x - 72..
  • Factor: 56x2 - 97x + 42..
  • Factor the trinomial. 3y2 - 10y - 8..
  • Factor the trinomial. 5x2 - 32xy - 64y2..
  • Factor the trinomial.2x2 - 5xy - 12y2..
  • Factor: 4x2 - 4x - 15..
  • Factor the trinomial. 3x2y2z2 + 7xyz - 20..
  • Solve the equation by factoring. 8x2 - 19x - 15 = 0..
  • Solve the equation by factoring. 5y2 + 24y - 36 = 0..
  • Solve the equation by factoring. 14w2 - 13w + 3 = 0..
  • Solve the equation by factoring. 24y2 + 22y - 7 = 0..
  • Solve the equation by factoring. 12a2 + 26a + 10 = 0..
  • Solve the equation by factoring. 6w2 - 11w - 30 = 0..
  • Solve the equation for z in terms of x. 9z2 + 17zx - 30x2 = 0..
  • Solve the equation by factoring. 2x2 + 9x - 35 = 0..
  • Solve the equation by factoring. 7x2 - 20x - 3 = 0..
  • Solve the equation by factoring. 18x2 + 38x + 4 = 0..
  • Solve the equation by factoring.15x2 - 19x - 10 = 0..
  • Solve the equation by factoring. 8x2 + 34x + 35 = 0..
  • Solve the equation by factoring.50y2 - 10y = 5y + 44..
  • Solve the equation by factoring.105y2 - 105y + 105 = 120y - 15..
  • Solve the equation by factoring. 12x2 - 2x - 20 = - x + 15..
  • Solve the equation by factoring.114c2 - 103c = 35..
  • The area of the living room of Mr.Paul is modeled by the equation, A = 2x2 - 8x + 17. If t..
  • Factor the GCF out of 9x4 + 18x...
  • Factor the GCF out of 20t5 + 5t3...
    		•