Answer:
15.26
Explanation:
The Pythagorean theorem
The Pythagorean theorem is used to find missing side lengths in a right triangle ( a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.
The formula of the Pythagorean theorem is
a² + b² = c²
Where a and b = base lengths and c = hypotenuse ( longest side )
Solving for the missing side
Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.
To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )
Plugging in what we are given
Given:
a = 8 , b = 13
Formula : a² + b² = c²
==> plug in values
8² + 13² = c²
==> simplify exponents
64 + 169 = c²
==> add 64 and 169
233 = c²
==> take the square root of both sides
c = 15.26 ( rounded to two decimal places )
And we are done!