Question

Can u guys please answer these Pythagoras theorem questions. First person to answer this questions will be marked as brainest answer ​

Answer 1

Answer:

d. 21.5

Step-by-step explanation:

To find the missing side length of each triangle, use the pythagorean theorem. The theorem is $a^2 + b^2 = c^2$ where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.

In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:

$12^2 + 20^2 = c^2\\144 + 400 = c^2\\544 = c^2\\\sqrt{544} = c\\ 23.32 = c$

Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.

$9^2 + b^2 = 23.32^2\\81 + b^2 = 544\\b^2 = 544 - 81\\b^2 = 463\\b = \sqrt{463} \\b = 21.5$