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Nat2105 [25]
3 years ago
5

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
2 answers:
tia_tia [17]3 years ago
5 0
<h3>Answer:  6.93</h3>

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

iris [78.8K]3 years ago
3 0

Answer:

x=6.93

Step-by-step explanation:

This is a right triangle, 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, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.

a=x

b=11

c=13

x^2+11^2=13^2

Evaluate the exponents.

11^2=11*11=121

13^2=13*13=169

x^2+121=169

Now we must solve for x by getting x by itself. First, subtract 121 from both sides.

x^2+121-121=169-121

x^2=169-121

x^2=48

x is being squared, so we should take the square root of both sides.

√x^2=√48

x=√48

x=6.92820323

Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.

x=6.93

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