Question

The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?​

Answer 1

hypotenuse = 5 inches

Explanation:

Hypotenuse, by the Pythagoras theorem, is the square-root of the sum of the square of the two short sides.

Hypotenuse

= sqrt(3²+4²)

=sqrt(9+16)

=sqrt(25)

=sqrt(5²)

=5

Answer 2

The length of the hypotenuse is 5 inches.

Explanation:

The formula for finding the hypotenuse is
`a^(2) + b^(2) = c^(2)`,

with a and be being the two shorter sides of the triangle, while c is the hypotenuse.

Let's plug in our values for a and b and solve.

`4^(2) + 3^(2) = c^(2)`

16 + 9 =
`c^(2)`

25 =
`c^(2)`

What is the square root of 25? 5.

The length of the hypotenuse is 5 inches.