Question

Answer with explanation I will and rate on the feedback. Will mark brainliest too

Answer 1

Answer: 6.6

Step-by-step explanation:

We have two triangles. Find the hypothenuse of the first triangle to make it easier to solve the second triangle.

First triangle:

a = 6

b = 8

c = ?

Use pythagorean's theorem

$c^2=a^2+b^2\\c=\sqrt{a^2+b^2}$

$c=\sqrt{(6)^2+(8)^2}\\ c=\sqrt{36+64}\\ c=\sqrt{100}\\ c=10$

This hypothenuse is valid for both triangles. Having said this, we already have 2 sides of the second triangle; c and a. We need to find b.

$c^2=a^2+b^2\\b^2=c^2-a^2\\b=\sqrt{c^2-a^2}$

$b=\sqrt{(12)^2-(10)^2}\\ b=\sqrt{144-100}\\ b=\sqrt{44}\\ b=6.6$