Question

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

Answer 1

Answer:

17 cm

Step-by-step 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

$8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=\sqrt{289} \\c=17$

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!

Answer 2

Answer:

Step-by-step 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