Question

The hypotenuse of a right triangle measures 15 cm and one of its legs measures 14 cm. Find the measure of the other leg. If necessary, round to the nearest tenth

Answer 1

The other leg is 5.4 cm

Explanation:

Pre-Solving

We are given that in a triangle, the hypotenuse is 15cm, and one of the legs is 14cm.

We want to find the length of the other leg.

Solving

The Pythagorean Theorem states that a² + b² = c², where a and b are the legs and c is the hypotenuse.

We can substitute what we know into the theorem.

14² + b² = 15²

196 + b² = 225

Subtract.

b² = 29

Take the square root of b to get:

b = √29 cm

√29 ≈ 5.4 cm