Question

|Pythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.810

Answer 1

A right triangle satisfies the Pythagorean Theorem:

`c^2=a^2+b^2`

where c is the hypotenuse (larger side), while a and b are the legs (smaller sides).

In our case:

• c = x

,

• a = 8

,

• b = 10

Replacing the values we get:

`x^2=8^2+10^2`

Solving for x:

`\sqrt[]{x^2}=\sqrt[]{8^2+10^2}`
`x^{}=\sqrt[]{64+100}`
`x=\sqrt[]{164}\approx12.81`

Answer: 12.81