Question

Use the given values to find the missing lengths in the figure. If necessary, express your answer as a

radical.


C = 7 cm and a = 4 cm
b= _____ cm

Answer 1

√33 cm

Explanation:

We know that this is a right triangle, which means that we can apply the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 4 and c = 7, so plug thes in to find b:

a² + b² = c²

4² + b² = 7²

b² = 49 - 16 = 33

b = √33

The answer is thus √33 cm.