# In a right-angled triangle A and B legs. find C if a = 4√2, b = 7

August 19, 2021 | education

| To solve this task, you need to find the hypotenuse C in a right-angled triangle. Consider the condition of the task and analyze it;

According to the condition of the task, we are given a right-angled triangle, in which two legs are known. leg A is equal;

A = 4 * √2;

Leg B is equal;

B = 7;

To find the hypotenuse, we use the property of a right-angled triangle or the Pythagorean theorem.

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

C ^ 2 = A ^ 2 + B ^ 2;

Substitute the values;

C ^ 2 = 16 * 2 + 49;

C ^ 2 = 81;

C = √81;

C = 9.