Two congruent right triangles (right angle, hypotenuse 13, leg 5) are placed leg-to-leg to form a single larger triangle by joining their equal 12 cm legs. What is the area (in sq cm) of the combined figure?

Question

Accepted Answer

60. Each right triangle has legs 5 and 12 (since √13^2-5^2=12), area = 1/2(5)(12) = 30. Two congruent triangles: total area = 2 x 30 = 60 sq cm.

Two congruent right triangles (right angle, hypotenuse 13, leg 5) are placed leg-to-leg to form a single larger triangle by joining their equal 12 cm legs.
What is the area (in sq cm) of the combined figure?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

Two congruent right triangles (right angle, hypotenuse 13, leg 5) are placed leg-to-leg to form a single larger triangle by joining their equal 12 cm legs.What is the area (in sq cm) of the combined figure?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

Two congruent right triangles (right angle, hypotenuse 13, leg 5) are placed leg-to-leg to form a single larger triangle by joining their equal 12 cm legs.
What is the area (in sq cm) of the combined figure?