Question

Expert or ace help plsss​

Answer 1

Explanation

c.

Answer 2

Question :-

What is the length of Hypotenuse?

A.
`\sf √(40\: ft)`

B.
`\sf√(96\: ft)`

C.
`\sf√(208\: ft)`

D.
`\sf 20 \: ft`

E.
`\sf 48 \: ft`

____________________

Solution :-

Given Information :-

• Base of Triangle = 12 ft
• Base² = 12² = 144 ft
• Altitude of Triangle = 8 ft
• Altitude² = 8² = 64 ft

To Find :-

• Hypotenuse of Triangle

Formula Used :-

• Pythagoras Theorem ↓
• Hypotenuse² = Base² + Altitude²

Calculation :-

Here, we will substitute the given values in the formula,

⇒ Hypotenuse² = ( 144 + 64 ) ft

⇒ Hypotenuse² = 208 ft

Now transposing the square to Right Hand Side, We get,

⇒ Hypotenuse =
`\sf √(208) \: ft`

∴ Hypotenuse =
`\sf √(208) \: ft`

____________________

Final Answer :-

The Hypotenuse of Right Triangle is
`\sf √(208) \: ft`

Hence, Option C.
`\bf √(208) \: ft` is correct answer.

____________________