Question

The legs of a isosceles right triangle both measure 10 inches find the length of the hypotenuse

Answer 1

Answer:

Hypotenuse = 14.1421 inches (rounded off to four decimal values)

Step-by-step explanation:

The legs of an isosceles triangle both measure 10 inches

Since the triangle is a right triangle,

We apply the Pythagorean Theorem to find the height of the hypotenuse

a² + b² = c²

a = 10 inches, b = 10 inches and (c) is the hypotenuse whose value we don't know.

So; 10² + 10² = c²

c² = 100 + 100

c² = 200

c = $\sqrt{200}$ = 14.1421356237 inches

The hypotenuse is 14.1421 inches (answer rounded off to four decimal values)