Question

HELP Pythagorean theorem

Answer 1

Answer:the unknown leg is 7.5

Step-by-step explanation:

The given right angle triangle has a hypotenuse, a known leg and an unknown leg.

From the triangle,

The hypotenuse is 9

The known leg is 5

The unknown leg is x

The formula for Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = known leg^2 + unknown leg^2

Therefore

9^2 = 5^2 + x^2

81 = 25 + x^2

x^2 = 81 - 25 = 56

x = √56 = 7.5

Answer 2

Answer:

x (a²) = 7.5

Step-by-step explanation:

Formula: a² + b² = c²

Solution:

a² + b² = c²

a² + 5² = 9² (evaluate)

a² + 25 = 81 (subtract)

(81 - 25 = 56) Now, find the square root of 56.

√56 = a² (7.5 · 7.5 = 56.2)

a = 7.5