In Fig. 6.13, ∠BAC = 90°, AD ⊥ BC and ∠BAD = 50°, then ∠ACD is


A. 50°

B. 40°

C. 70°

D. 60°

Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

In a triangle, one angle is of 90°. Then

(i) The other two angles are of 45° each

(ii) In remaining two angles, one angle is 90° and other is 45°

(iii) Remaining two angles are complementary

In the given option(s) which is true?

The perimeter of the rectangle whose length is 60 cm and a diagonal is 61 cm is

Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is

In a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

A 15 m long ladder reached a window 12 m high form the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

Which of the following can be the sides of a right triangle?

(i) 2.5 cm, 6.5 cm, 6 cm.

(ii) 2 cm, 2 cm, 5 cm.

(iii) 1.5 cm, 2 cm, 2.5 cm.

In the case of right-angled triangles, identify the right angles.

Angles Q and R or a PQR are 25^o and 65^o. Write which of the following is true:

(i) PQ² + QR²= RP²

(ii) PQ² + RP²= QR²

(iii) RP² + QR²= PQ²

ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.