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mestny [16]
3 years ago
12

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

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

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

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