Question

The length of the hypotenuse of a 30 60 90 triangle is 11. What is the perimeter?

Answer 1

Answer:

Perimeter of the triangle is $26.015$ units

Step-by-step explanation:

Given a $30-60-90$ degree angled triangle  

Let us calculate the length of side opposite the 30 degree angle

$= \frac{1}{2} *$hypotenuse

$= \frac{1}{2} * 11\\= 5.5$ units

length of side opposite the 60 degree angle

$= 5.5 * \sqrt{3} \\= 5.5 * 1.73\\= 9.515$ units

The perimeter of a triangle is equal to the sum of length of all three sides

Thus, the perimeter of this $30-60-90$ degree angled triangle  is

$11 + 5.5 + 9.515\\= 26.015$ units

Thus, the  perimeter of the triangle is $26.015$ units