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3 years ago

Use pythagorean theorem to find the length of the hypotenuse in the triangle shown below 11 and 60

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

8 0

Answer: The value of the hypotenuse is 61.

Step-by-step explanation:

So we are given a triangle with two known sides; two legs with values of 11 and 60. We have to use the Pythagorean Theorem to find the value of the hypotenuse.

The Pythagorean Theorem states that, "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

This means that:

a^2 + b^2 = c^2

leg^2 + leg^2 = hypotenuse^2

So just by looking at that, we know that we can just substitute the values in:

11^2 + 60^2 = x^2

121 + 3600 = 3721

sqrt of 3721 = 61

So the hypotenuse value is 61.

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