Question

Find length of the hypotenuse in a right triangle with legs of 8cm and 15 cm

Answer 1

Explanation:

h^2=x^2+y^2, in this case

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17cm

Answer 2

17 cm

Explanation:

The Pythagorean Theorem:
`a^2+b^2=c^2` where a and b are the legs and c is the hypotenuse

Plug in the values of the legs

`8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=√(289) \\c=17`

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!