SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: What is the height of the triangle, if the triangle and the parallelogram have the same base and the same area?



A ) h = 2H
B ) H = h
C ) 2h = H
D ) None of the above

Steps to derive

1 From the figure, the triangle and the parallelogram have same base.
Height of the parallelogram = H
Height of the triangle = h.

2 Area of the triangle = 12× base × height

3 Area of the parallelogram = base × height

4 Given, area of the triangle = area of the parallelogram

5 12 × base × height = base × height
 [Substitute the area formulae.]

6 12 × height = height
 [Bases are equal.]

7 12 × h = H
 [Substitute the height values.]

8 h = 2H



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • If f(x) = 3x2 and g(x) = 5x - 2, evaluate f[g(x)] for x = - 3, 0, 3...
  • If f(x) = x2 - 2x, g(x) = 1 - x, evaluate g[f(x)] for x = - 1, 0, 1...
  • Given f(x) = - 5x and g(x) = 2x2, find the value of the composite function (fog)(x)...
  • Evaluate the composite function (fog)(x). Given f(x) = 3x + 4 and g(x) = x - 6...
  • If f(x) = - 3x2 and g(x) = 2x, evaluate the composite function (gof)(x)...
  • If f(x) = 3x2 and g(x) = 5x + 2, then find (gof)(x)...
  • If f(x) = 3x + 3 and g(x) = 4x2, evaluate the composite function (fog)(x2)...
  • If f(x) = 2x - 7 and g(x) = 2x3, find the value of the composite function (gof)(3x)...
  • If f(x) = - 2x4 and g(x) = 4x - 6, then find (fog)(x - 1)...
  • If f(x) = 7x - 4 and g(x) = 1 + 2x, find (gof)(- 2x)...
  • If f(x) = 4x - 5, then find the composite function (fof)(8x)...
  • If g(x) = 4x + 2, then find the composite function (gog)(x + 1)...
  • If f(x) = 5x - 3, then find the value of f(3 +  h) - f(3)h, h &ne..
  • Sketch the graph of f(x) = |x| + 2. Write the domain and range...
  • Choose an appropriate symbol to balance the expression.(3 ⋅ 2)5__________ ..
  • Fill the blank using an appropriate symbol for the expression (37 ⋅34) ___ (3&nb..
  • Simplify the expression: 2x2 ⋅(- 5x)6..
  • Simplify the expression. (7y2)4⋅(y4)2..
  • The Area of a rhombus is given by the formula A = 12d1d2, where d1 and d2 are the length o..
  • Find the volume(V) of a circular cone whose base radius is 2x and height 3x2...
  • Solve (y - 12)(y + 5) = 0...
  • Solve (a - 1.4)2 = 0...
  • Solve (b - 9)(b - 13)2 = 0...
  • Solve (u - 34)(5u + 8)(15u - 7) = 0...
  • Solve (9x - 20.7)(3x + 10.8)2 = 0...
  • Which of the following expressions is the difference of two squares?..
  • The edge of a cube is (x + 5). Which expression represents its surface area?..
  • Which of the following expressions is not the difference of two squares?..
  • Which of the the following expressions is the square of a binomial?..
  • Which of the the following expressions is the square of a binomial?..
  • Which of the following expressions is not the square of binomial?..
  • Which of the following expressions is the square of a binomial?..
  • Find the product of (c + 9) and (c - 9)...
  • Find the product of ( m + 5) and ( m - 5)...
  • Find the product of (3 - 3a) and (3 + 3a)...
  • Expand (a + 5)2...
  • Find the product of (9y + 6)2...
  • Find the product of (3x - 8)2...
  • Simplify (y - 5)2...
  • Find the product of (x + 7) and (x - 7)...
  • Simplify: (2y + 5)(2y - 5)..
  • Simplify: (a + 2b)(a - 2b)..
  • Expand: (3x + 8)2..
  • Find the product of (1 - 6t) and (1 + 6t)...
  • Simplify: (12 - 3p)2..
  • Simplify : (x - 5y)(x + 5y)(x - 6z)(x + 6z)..
  • Which of the following is true?..
  • Which of the following expressions represents the area of the figure?..
  • The side of the square is (6c - 3) cm. What is its area in square cm?..
  • The area of the square is given by 36z2 + 144z + 144. Express its perimeter as a function ..
  • Find the domain of the function: y = 2 - x1 - x..
  • Find the domain of the function: y = x + 9x + 2..
  • Find the domain of the function: y = 3x + 14..
  • Simplify: 12r + 8- 4..
  • Simplify: - 45 + 5h5..
  • Evaluate 5r - 67 when r = - 10...
  • Evaluate 3 - 4xy when x = 3 and y = 14...
  • What does 15 - 5 - 35 equal?..
  • What does - m - 21 equal when m = - 9?..
  • Find the terms of - 19 - 4x...
  • Find the terms of 7x - 8...
  • Find the terms of - 9y + 22...
  • Evaluate - 4 - b when b = - 2...
  • Which of the following is not a term of the expression - 15x - 6y + 7?..
  • Which of the following expressions shows the area of the rectangle, if a = 10 and b = 8?..
  • Choose an expression for the area of the rectangle shown. [a = 4, b = 9.]..
  • Simplify the expression 8(x + 3)...
  • Simplify: (6x + 2)4..
  • Simplify: 6(x - 3)..
  • Simplify the expression (9x - 3)109...
  • Simplify the expression (4 - 3x)5...
  • Which expression is equivalent to 6(94 - 178x)?..
  • Identify an expression that is equivalent to - (4 + 6y)...
  • Simplify the expression - 9(3 - x)...
  • Simplify the expression (3a + 6)(- 4)...
  • Simplify the expression (8b - 10)(- 5)...
  • Simplify the expression (- 4 + 3a)(- 7)...
  • Simplify the expression (7t - 4)(- 227)...
  • Find the value of 9(5.04)...
  • Simplify the expression - 9(1.7)...
  • A brand of soap is on sale for $9.76 per package. You would like to buy 9 packages. Which ..
  • Jim collected $3.30 for charity from each of his 8 friends. Find the total amount that he ..
  • Each shirt costs $54.99 in a sale with one shirt free for every pair of shirts bought. Ton..
  • Simplify the expression 9(7.96)...
  • Laura wants to buy toys for her cousins. She bought 5 toys for $37.96 each. Find the total..
  • Mr.Williams needs 2 gallons of milk for his family. Milk costs about $7.73 per gallon. Cho..
  • Simplify the expression (1.8 - 2.3x)(- 3)...
  • Simplify the expression - 98(7x + 4)...
  • Simplify the expression 7(78 - 910t)...
  • Which of these is the simplest form of 101100?..
  • Which one of these is the simplest form of 81152?..
  • Which of the following represents the simplest form of 448?..
  • Which of the following is the simplest form of 99?..
  • Simplify: 15960..
  • Simplify 6481...
  • Which of the following is the simplest form of 501225?..
  • Which of the following is the simplest form of 1331539?..
  • Simplify: 1212..
  • Simplify:4433..
  • Which of the following is the simplest form of 455?..
    		•