Question

Consider the right triangle below:

​The length of the missing leg, AC= meters
​​Round your answer to the nearest tenth.
Note: ​Figure not drawn to scale and all the measurements are in meters.

What is the perimeter of triangle ABC

Answer 1

Answer
length of AC = 3.3 meters
perimeter is 14.3 meters

Step by step

We can solve the missing leg length by using Pythagorean theorem a^2 + b^2 = c^2

We know a = 5 and c = 6, find b

5^2 + b*2 = 6^2

25 + b^2 = 36

Subtract 25 from both sides to isolate b

25 - 25 + b^2 = 36 - 25

b^2 = 11

Take square root of both sides to solve

b = 3.31662479

Round to nearest tenth

b = 3.3 meters

Now to find perimeter which is the sum of all sides

5 + 6 + 3.3 = 14.3 meters