Question

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

60
25

Answer 1

65

Explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.

`a^2+b^2=c^2`

I'm assuming that '60' and '25' are measures of the legs, since the question asks to find the hypotenuse.

`60^2+25^2=c^2\\\rightarrow 60^2=3600\\\rightarrow 25^2 = 625\\3600+625=c^2\\4225=c^2\\√(4225)=√(c^2)\\\boxed{65=c}`

The hypotenuse should measure 65 units.

Answer 2

65

Explanation:

C^2= A^2 + B^2

C^2 = (60)^2 + (25)^2

C^2 = 4225

Take the square root of C

C = 65