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gulaghasi [49]
3 years ago
10

Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse i

s 10 feet long. A. 12.81 B. 36 C. 6 D. 4√ 41
Mathematics
2 answers:
iren [92.7K]3 years ago
8 0
The <span>Pythagorean Theorem tells us that a^{2}+b^{2}=c^{2} where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:

b=\sqrt{c^{2}-a^{2}}

We can then substitute known values, and solve:
</span>b=\sqrt{10^{2}-8^{2}}
b=\sqrt{100-64}
b=\sqrt{36}
b=6 feet
Artist 52 [7]3 years ago
4 0

The length of the unknown leg of a triangle is 6 feet long

<h2>Further Explanation:</h2><h3>Right triangle </h3>
  • A right triangle is a triangle with one of its angles being 90 degrees or right angle.
  • The triangle has two shorter sides making the right angle and the hypotenuse which is the longest side.
<h3>Scalene triangle </h3>
  • It is a triangle that with sides and angles that are not equal.
  • Area of a scalene triangle depends on the features of the triangle given.
<h3>Pythagoras Rule </h3>
  • According to Pythagoras rule, in a right angled triangle if the squares of the shorter sides are added then they are equivalent to the square of the hypotenuse.
  • That is; a^{2} + b^{2} =c^{2}, where a and b are the shorter sides while c is the hypotenuse.

In this case;

We are given;

Hypotenuse = 10 ft

One leg = 6 ft

Therefore, assuming the other leg is b; then

b^{2} =c^{2} -a^{2} \\b^{2} = 10^{2}-8^{2}  \\ = 100 -64 \\ = 36 \\b^{2} = \sqrt{36} \\b= 6ft

Therefore; the length of unknown leg is 6ft

Keywords: Right triangle, Pythagoras rule

<h3>Learn more about: </h3>
  • Pythagoras theorem: brainly.com/question/13035995
  • Right triangle: brainly.com/question/13035995

Level; High school

Subject: Mathematics

Topic: Pythagoras theorem

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