Can someone please explain how to do this quick? Thanks!

"The triangles in each diagram are similar to one another. Solve for x in each diagram. If an answer could be written as a fraction or decimal, type your answer in as a decimal. Diagrams are not necessarily drawn to scale."

Guest Apr 27, 2021

edited by
Guest
Apr 27, 2021

#1**0 **

First find the hypotenuse of the first triangle.

\(\sqrt{8^2 + 6^2} =10\)

Now since we know they're similar triangles, we can see that the relationship between the triangles are that they are doubled.

10 ÷ 2 = 5, which means x = 5.

Logarhythm Apr 27, 2021

#3**0 **

Using the Pythagorean Theorem, the hypotenuse of the larger triangle is 10. So the ratio of 6:10 is equal to 3:x

we can also write it like this:

6/10 = 3/x

Solving for x, we get

x = 5 |

weebh4.1zh0 Apr 27, 2021