The length of the longer leg is 5√3 inches if the shorter leg of a 30°-60°-90° right triangle measures 5 in option (A) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
The shorter leg of a 30°-60°-90° right triangle measures 5 in.
In the 30°-60°-90°, the sides of the right triangle are in the ratios of:
1:√3:2
Let L be the longer leg and S be the shorter leg:
Then the ratios of:
[tex]\rm \dfrac{L}{5} =\dfrac{\sqrt{3}}{1}[/tex]
L = 5√3 inches
Thus, the length of the longer leg is 5√3 if the shorter leg of a 30°-60°-90° right triangle measures 5 in option (A) is correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ2
