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In a 30-60-90 triangle, the length of the side that is opposite from the 30° angle is 11 inches. What is the length of the hypotenuse in
inches?

Sagot :

Amysun2025idn

Answer:

22 inches

Step-by-step explanation:

Hello!

We are given a 30-60-90 triangle. The angles of the triangle are 30°, 60°, and 90°

The triangle is a right triangle, since one of the angles is 90° (it is a right angle)

We are also given the length of the side opposite from the 30° angle as 11 inches, and we want to find the length of the hypotenuse (the side OPPOSITE of the right angle)

In a right triangle, if we know the length of the side opposite from an angle measuring 30°,  then we know that the length of the hypotenuse is TWICE the length of the side opposite to 30°

In other words, if the length of the side opposite to the 30° angle is a, then the length of the hypotenuse is 2a

In this case, a would be 11, and since the length of the hypotenuse is 2a, if we plug 11 as a, it would be 2×11, which would mean the hypotenuse is 22 inches long

Hope this helps!

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