Find the value of x in the triangle shown below. Choose 1 answer: A- x=√(80) B- x=√(48) C- x=√(32) D- x=√(12)

Question

Find the value of x in the triangle shown below.

Choose 1 answer:

A- x=
`√(80)`

B- x=
`√(48)`

C- x=
`√(32)`

D- x=
`√(12)`

Answer 1

Option A, x =
`√(80)`

Explanation:

Pythagorean Theorem states: A² + B² = C² ( A and B are the legs, C is always the hypotenuse)

⇒ A² + B² = C²

⇒ 4² + 8² = x²

⇒ 16 + 64 = x²

⇒ 80 = x²

⇒
`√(80) = \sqrt{x^(2) }`

⇒
`√(80) = x`

Hope this helps!