Question

1. The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is of
length 8 cm, find the length of the third side.
2. The length of the hypotenuse of a right triangle is 13 cm. If one of the side of the
triangle be 5 cm long, find the length of the other side.
3. The length of two sides of a right triangle are equal. The square of the hypotenuse is
800 cm? Find the length of the each side.
4. Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between
their feet is 12 m, find the distance between their tops.
5. Find the length of the diagonal of a rectangle whose sides are 15 cm and 8 cm.
6. The foot of a ladder is 6 m away from a wall and its top reaches a window 8 m above
the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall,
to what height does its top reach?
7. A right angled triangle is isosceles. If the square of the hypotenuse is 50 m², what is the
length of each of its sides?
8. If the sides of a triangle are 3 m, 4 m and 6 m long, determine whether the triangle is a
right angled triangle,
9. Verify whether the following triplets are Pythagorean or not.
(0 (8, 9, 10)
(ii) (5, 7, 12)
(iii) (3, 4, 5)
(iv) (5, 12, 13)
(v) (9, 12, 15)​

Answer 1

Answer:

1) 15 cm

2) 12 cm

3) 20 cm

4) 6 m

5) 17 cm

6) 6 m

7) 5 m

8) No. These measures cannot form a right angled triangle

9) i) Not a triplet

ii) Not a triplet

iii) Is a triplet

iv) Is a triplet

v) Is a triplet