Question

Find the missing side length of each triangle round to the nearest 10th if necessary

Answer 1

a = 11.2 m
Step-by-step explanation:
took the test:)

Answer 2

`a=11.2\text{ m}`

Step-by-step explanation:

The Pythagorean theorem states that if the square of a side is equal to the sum of the square of the other two sides, then the triangle must be a right-angle triangle.

`a^2+b^2=c^2`

So, for the given values:

b=5.1, c=12.3, a=?

`\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{12.3^2-5.1^2} \\ a=\sqrt[]{151.29-26.01} \\ a=\sqrt[]{125.28} \\ a=11.19 \\ \text{ Rounding to the nearest tenth:} \\ a=11.2\text{ m} \end{gathered}`