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2 votes
Please help thank youu

Please help thank youu-example-1

2 Answers

4 votes

Answer:

We use the pythagorean theorem a²+b²=c² and in this question

a = 6

and

b = 16

so

36 + 256 = c²

so

c² = 292 so now we take the square root of it to get
√(292)

Hope this helps!

User JeanJacquesGourdin
by
8.7k points
5 votes

Answer:

2√73 or 17.09 inches

Explanation:

The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²

a = 6

b = 16

c = ?

Plug these values into the equation.

(6)² + (16)² = c²

Evaluate the exponents.

36 + 256 = c²

292 = c²

Take the square root of both sides to find c.

√292 = √c²

17.09 ≈ c

This is your answer.

You can also simplify the radical without using decimals.

4 • 73 = 292

Therefore,

√4 • √73 = √292

Which also means,

2•√73 = √292

So your answer is: 2√73

Hope this helps!

User Danieljames
by
8.5k points

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