And I saucily‘s right triangles legs are 10 square root of 8 feet long. What is the length of the hypotenuse?
2 Answers
See a solution process below:
Explanation:
Because we are told the isosceles triangle is a right triangle we can use the Pythagorean Theorem to determine the length of the hypotenuse.
The Pythagorean Theorem states:
Where:
For this problem both legs have the same length:
Substituting for
The length of the hypotenuse is 40 feet.
The hypotenuse is
Explanation:
Right Isosceles Triangle
The ratio of the sides in an Isosceles right triangle is
This tells us that the two sides, apart from the hypotenuse, will always be the same length.
We are given the sides as
Just like any other right triangle, we can use the Pythagorean theorem:
where:
Plug in the known values and solve for
Solve for