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Jobisdone [24]
2 years ago
8

1. What is the value of x? Do not convert to decimal. Keep your answer in exact (radical) form. Show all of your work. This is P

ythagorean theorem, the hypotenuse is the square root of 177, and for the bottom of the triangle it is x, and the back side of the triangle is 8.
Mathematics
1 answer:
lesya [120]2 years ago
6 0

Answer:

The value of x is \sqrt{113}.

Step-by-step explanation:

It is given that hypotenuse is \sqrt{177}. So, the legs would be x and 8.

Let's use Pythagoras theorem,

a^{2} +b^{2} =c^{2}

Plug in the numbers to solve for x.

x^{2} +8^{2} =\sqrt{177} ^{2}

Simplify it

x^{2} +64 =177

Subtract both sides 64.

x^{2} =113

Take square root on both sides

x=\sqrt{113}

We can not simplify the radical.

So, let's keep this as answer.

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