Question

GEOMETRY Translate the sentence into a formula. In a right triangle, the square of the measure of the hypotenuse c is equal to the sum of the squares of the measures of the legs, a and b.

Short answer

The formula of the given sentence is $c^2=a^2+b^2$.

Step-by-step solution

Step 1. Given information.

In a right triangle, the square of the measure of the hypotenuse c is equal to the sum of the squares of the measures of the legs, aandb.

Step 2. To find the formula from a given sentence.

According to the given sentence is:

The square of the measure of the hypotenuse c is equal to the sum of the squares of the measures of the legs, a and b.

The formula is:

$c^2=a^2+b^2$

Step 3. Diagram of the right-angle triangle.

Hence, the formula of the given sentence is $c^2=a^2+b^2$.