Question

What is the length of tho dotted line in the diagram below? Round to the nearest tenth

Answer 1

Answer: 8.1

Explanation:

Use the lower triangle to find one of the sides of the triangle that is composed of the dotted line.

`4^(2) +5^(2) = c^(2) \\41 = c^(2) \\√(41) = c\\6.40 =c`

Use this side value along with what we're given in the image to solve for the length of the dotted line. The image gives us a side length of 5 which we can translate to being equal to the opposite side as well. Now, we have two side lengths and can use Pythagorean theorem to solve for the length of the dotted line:

`6.40^(2) + 5^(2) = x^(2) \\65.96 = x^(2) \\√(65.96) = x\\8.1 = x`