The length of the small leg of a 30 -60 -90 degree triangle is 5. What is the perimeter of the triangle?
1 answer:
Answer:
option (B)
15 + 5√3
Step-by-step explanation:
In a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.
Given in the question,
length of small leg = 5
As we know that
The hypotenuse is equal to twice the length of the shorter leg
<h3>hypotenuse = 2(5) =10</h3>
The longer leg is equal to multiplying the shorter leg by the square root of 3
<h3>other leg = 5√3</h3>
Perimeter of a triangle = sum of the length of three sides
= 5√3 + 10 + 5
= 15 + 5√3
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