Question

(25 Points) The measure of b is ______?

Answer 1

21

Explanation:

You have a right triangle, so you can use the Pythagorean theorem, where a and b are the lengths of the legs, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 841 - 400

b^2 = 441

b = 21

Answer 2

21

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21