Question

the base of a right triangle is 6 and the perpendicular height is 8, what is the length of a hypotenuse

Answer 1

The lenght of hypotenuse is 10. It can be obtained by useing Pythagorean Theorem.

What is Pythagorean theorem?

It is a theorem which gives the relationship betwen the lenght of base, perpendicular height, and hypotaneous. This relationship is valid only for a right angled triangle.

The lenght of hypotenuse is given by the following formula:

$h=\sqrt{b^2+p^2}$

Here, h is the length of hypotenuse, b is the length of base, and p is the lenght of perpendicular.

Substitute 6 for b and 8 for p in the above equation.

$h=\sqrt{6^2+8^2}\\=\sqrt{36+64}$

Now, take the square root of 100.

$h=\sqrt{100}\\=10$

Hence, the lenght of hypotenuse is 10.

Learn more about pythagorean theorem form the following link:

https://brainly.com/question/25016594