Two right triangles share the SAME hypotenuse AC (so the hypotenuse is common) and have equal one leg, lying on opposite sides of AC. They are congruent by RHS. If each triangle has hypotenuse 10 cm and the common-length leg is 6 cm, find the other leg (in cm), equal in both.

Question

Accepted Answer

8. Other leg = √10^2 - 6^2 = √100 - 36 = √64 = 8 cm; RHS guarantees both triangles share this length.

Two right triangles share the SAME hypotenuse AC (so the hypotenuse is common) and have equal one leg, lying on opposite sides of AC. They are congruent by RHS.
If each triangle has hypotenuse 10 cm and the common-length leg is 6 cm, find the other leg (in cm), equal in both.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Criteria for Congruence practice

Two right triangles share the SAME hypotenuse AC (so the hypotenuse is common) and have equal one leg, lying on opposite sides of AC. They are congruent by RHS.If each triangle has hypotenuse 10 cm and the common-length leg is 6 cm, find the other leg (in cm), equal in both.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Criteria for Congruence practice

Two right triangles share the SAME hypotenuse AC (so the hypotenuse is common) and have equal one leg, lying on opposite sides of AC. They are congruent by RHS.
If each triangle has hypotenuse 10 cm and the common-length leg is 6 cm, find the other leg (in cm), equal in both.