Concurrency of the angle bisectors of a triangle
Concurrency of the angle bisectors of a triangle - Draw a triangle ABC. Draw its angle bisectors. The angle bisectors pass through a point. Recall the procedure to draw angle bisectors: With B as centre and with a convenient radius draw an..
Concurrency of the angle bisectors of a triangle - Draw a triangle ABC. Draw its angle bisectors. The angle bisectors pass through a point. Recall the procedure to draw angle bisectors: With B as centre and with a convenient radius draw an..Similarity
Similarity - Study the following figures. They have the same shape though their sizes are different. One figure is the enlargement of the other figure. These figures are said to be similar to each other. In our study, we mostly deal with similarity of triangles. Two tr..
Similarity - Study the following figures. They have the same shape though their sizes are different. One figure is the enlargement of the other figure. These figures are said to be similar to each other. In our study, we mostly deal with similarity of triangles. Two tr..Identify the complementary angles.
Identify the complementary angles. => ∠ X or ∠ X and ∠ Y or ∠ X and ∠ Z or ∠ Y and ∠ Z..
Find the measures of the angles of the parallelogram.
Find the measures of the angles of the parallelogram. => x = 80°, y = 80°, z = 80° or x = 100°, y = 100°, z = 100° or x = 100°, y = 80°, z = 100° or ..
Which point names the vertex of the angle shown?
Which point names the vertex of the angle shown? => ∠ XYZ or Y or Z or YX → , YZ →..
Half-Angle Formulae
Theorem: - If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..
Theorem: - If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..Co-terminal Angles
The angles (2 p + A), (4 p + A)......have the same initial and terminal arm as the angle A and so these angles are called co-terminal angles . For all such angles, the value of any trigonometric ratio is the same. Thus, all co-terminal..
Relation between sides and angles of a triangle
If ABC is a triangle with sides a = BC, b = CA, c = AB, then - a = b cos C + c cos B - b = c cos A + a cos C (Projection formula) - c = a cos B + b cos A ..
If ABC is a triangle with sides a = BC, b = CA, c = AB, then - a = b cos C + c cos B - b = c cos A + a cos C (Projection formula) - c = a cos B + b cos A ..Co-terminal Angles
The angles (2 p + A), (4 p + A)......have the same initial and terminal arm as the angle A and so these angles are called co-terminal angles . For all such angles, the value of any trigonometric ratio is the same. Thus, all co-terminal ang..
The angles (2 p + A), (4 p + A)......have the same initial and terminal arm as the angle A and so these angles are called co-terminal angles . For all such angles, the value of any trigonometric ratio is the same. Thus, all co-terminal ang..Solution of Right Angled Triangles
To solve a right angled triangle, we need to find out the unknown sides and the angles with the help of t-ratios. To find a side, usually we take such t-ratios that involve the unknown sides. In the figure, AB = 100 cm, find (i) x and (ii)..
To solve a right angled triangle, we need to find out the unknown sides and the angles with the help of t-ratios. To find a side, usually we take such t-ratios that involve the unknown sides. In the figure, AB = 100 cm, find (i) x and (ii)..See what our Users say :
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