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3 years ago

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

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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