Triangles (Class 9, Math)

1. In given figure, the measure of ∠BAC is

2. In figure if AE || DC and AB = AC, find the value of ∠ABD.

3. In figure X is a point in the interior of square ABCD, AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then find BY.

4. In figure AB ⊥ AE, BC ⊥ AB, CE = DE and ∠AED = 120°, then find ∠ECD.

5. In ΔABC, ∠C = ∠A and BC = 4 cm and AC = 5 cm, then find length of AB.

6. In ΔABC, AB = AC and ∠B = 50°, then find ∠C.

7. In figure, D is the mid-point of side BC of a ΔABC and ∠ABD = 50°. If AD = BD = CD, then find the measure of ∠ACD.

8. In figure, ABC is an isosceles triangle whose side AC is produce to E and through C, CD is drawn parallel to BA. Find the value of x.

9. In figure AB ⊥ BE and EF ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to

10. D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then

11. It is given that ΔABC = ΔFDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

12. Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

13. In ΔPQR, if ∠R > ∠Q, then

14. In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

15. In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if