The circum-radius of a right triangle is 10 cm and one of the two perpendicular sides is 12 cm. Find the area of the triangle in sq. cm.

Question

The circum-radius of a right triangle is 10 cm and one of the two perpendicular sides is 12 cm. Find the area of the triangle in sq. cm. (A) 96 (B) 128 (C) 48 (D) 64

Tardigrade Admin · Accepted Answer

(i) Circum-radius is half of the hypotenuse. Use Pythagoras's theorem.
(ii) Circum-radius is

10 c m

, so hypotenuse is

2 (10 c m)

.
(iii) Use Pythagoras's theorem and get the length of the other perpendicular side and find the area.

Q. The circum-radius of a right triangle is 10 cm and one of the two perpendicular sides is 12 cm. Find the area of the triangle in sq. cm.

96

128

48

64

(i) Circum-radius is half of the hypotenuse. Use Pythagoras's theorem. (ii) Circum-radius is 10cm, so hypotenuse is 2(10cm). (iii) Use Pythagoras's theorem and get the length of the other perpendicular side and find the area.

(i) Circum-radius is half of the hypotenuse. Use Pythagoras's theorem.
(ii) Circum-radius is $10 c m$ , so hypotenuse is $2 (10 c m)$ .
(iii) Use Pythagoras's theorem and get the length of the other perpendicular side and find the area.