I NEED HELP PLEASE HELP ME

x=13.45

Step-by-step explanation:

This is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, 10 and 9 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

a=10

b=9

c=x

Substitute these values into the equations.

10^2+9^2=x^2

Evaluate the exponents on the left side.

10^2=10*10=100

100+9^2=x^2

9^2=9*9=81

100+81=x^2

Add 100 and 81

181=x^2

Since x is being squared, take the square root of both sides. The square root and the exponent will cancel, and leave x by itself.

√181=√x^2

√181=x

13.4536240471=x

Round to the nearest hundredth. The 3 in the the thousandth place tells us to leave the 5 in the hundredth place as is.

13.45=x

The hypotenuse of the triangle is 13.45

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step-by-step explanation:

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step-by-step explanation: