Question

Find the length of the third side of each triangle.

Answer 1

Every triangle in this problem set is a right triangle, so their third side lengths can be solved using the Pythagorean Theorem, A^2 + B ^2 = C ^2, where C is the hypotenuse, or the longest side of the triangle.

Here is how I solved each problem:

Answer 2

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The third side of the 1st, 2nd, 3rd, and 4th triangle is 35, 82, 9, and 29 respectively.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The third side of the triangle will be

The third side is given by the Pythagoras theorem.

H² = P² + B²

For the first triangle, we have

B² = H² - P²

B² = 37² - 12²

B  = 35

For the second triangle, we have

H² = P² + B²

H² = 18² + 80²

H  = 82

For the third triangle, we have

P² = H² - B²

P² = 41² - 40²

P  = 9

For the fourth triangle, we have

H² = P² + B²

H² = 20² + 21²

H  = 29

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2