Question

Giving rhombus SQUI, UD = 7, ID = 6, find UI. Round your answer to the nearest tenth as necessary

Answer 1

The Solution.

The diagonals of a rhombus intersect at right angles.

Hence, the length UI is a side in the right-angled triangle below:

By Pythagorean Theorem, we have

`\begin{gathered} |UI|^2=7^2+6^2 \\ |UI|^2=49+36=85 \\ \text{Taking the square root of both sides, we get} \\ |UI|=\text{ }\sqrt[]{85}=9.22\approx9.2 \end{gathered}`

Thus, the correct answer is 9.2