Question

Pls help me asap !!!!!

Answer 1

9

Explanation:

Because the triangle is a right triangle we can use the Pythagorean Theorem to solve for the missing side.

Pythagorean Theorem: a² + b² = c²

where

a = short leg

b = long leg

c = hypotenuse ( longest side )

we are given the hypotenuse and long leg and need to find the short leg

given hypotenuse (c) = 15

given long leg (b) = 12

short leg (a) = ?

to find the short leg plug in the known values into the Pythagorean Theorem and solve for a

a² + b² = c²

b = 12 and c = 15

a² + 12² = 15²

solve for a

a² + 12² = 15²

apply exponents

a² + 144 = 225

subtract 144 from both sides

a² = 81

take the square root of both sides

√a² = √81

a = 9

Answer 2

9

Explanation:

This is a right triangle. We can use the Pythagorean theorem to determine the missing side.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 12 ^2 = 15^2

a^2 +144 =225

a^2 = 225-144

a^2 = 81

Taking the square root of each side

a = 9