7.5k views
4 votes
What is the length of the side of a right triangle that has a side length of 12ft and a hypotenuse that measures 15ft

User CristiC
by
6.3k points

2 Answers

3 votes

Once again, In order to find the length of the hypotenuse, we need to use Pythagorean's Theorm.

This theorm states that a^2+b^2=c^2

a and b are sides, and c is the hypotenuse


12^2 + b^2 = 15^2\\144+b^2 = 225\\b^2 = 81\\√(b^2) = √(81)\\b = 9


The other side is 9

4 votes

Answer: 9 ft


Explanation:

1. To solve this exercise you must apply the Pythagorean Theorem, which is:


a=\sqrt{b^(2)+c^(2)}

Where
a is the hypotenuse, and
b and
c are the other sides of the triangle.

2. Then, when you solve for one of the sides and substitute the values given in the problem into the formula shown above, you obtain that the length of the side of the rigth triangle is:


b=\sqrt{(15ft)^(2)-(12ft)^(2)}


b=9ft



User Hardik Mehta
by
6.7k points