Answered

Engage with knowledgeable experts and get accurate answers on IDNLearn.com. Our platform is designed to provide quick and accurate answers to any questions you may have.

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!

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.