find the length of the hypotenuse of a triangle with legs of 5 ft and 12 ft?

11 ft
13 ft
17 ft
60 ft

it's one of the "Pythagorean triples"

right triangles with integer sides

like 3-4-5

remember ... a^2 + b^2 = c^2

there are a few basic integer-sided right triangles you would do well to learn. These start with

3-4-5
5-12-13
8-15-17
7-24-25

and all multiples of these, such as
6-8-10, 10-40-50, ...

However, to solve the problem in general, the hypotenuse is

c^2 = a^2+b^2
In your case, we have
c^2 = 5^2 + 12^2 = 25+144 = 169 = 13^2
so, c = 13

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's calculate using this theorem:

Leg A = 5 ft
Leg B = 12 ft

Hypotenuse² = Leg A² + Leg B²
Hypotenuse² = 5² + 12²
Hypotenuse² = 25 + 144
Hypotenuse² = 169

Taking the square root of both sides, we find:

Hypotenuse = √169
Hypotenuse = 13 ft

Therefore, the length of the hypotenuse of the triangle is 13 ft.

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the two legs of the triangle.

In this case, the lengths of the legs are given as 5 ft and 12 ft.

To calculate the length of the hypotenuse, you can use the following formula:

hypotenuse^2 = leg1^2 + leg2^2

Let's substitute the given values into the formula:

hypotenuse^2 = 5^2 + 12^2
hypotenuse^2 = 25 + 144
hypotenuse^2 = 169

To find the length of the hypotenuse, we need to take the square root of 169:

hypotenuse = √169
hypotenuse = 13 ft

Therefore, the length of the hypotenuse of the triangle with legs measuring 5 ft and 12 ft is 13 ft.