128k views
0 votes
Help!
Find the missing side lengths. Leave the answers as radicals in simplest form.

Help! Find the missing side lengths. Leave the answers as radicals in simplest form-example-1
User Robertp
by
8.4k points

1 Answer

5 votes

Answer:

b = 3.5

a = 7

Explanation:

Hello!

This triangle is a 30°-60°-90° triangle, as the missing angle is 30° and the other two angles are 60° and 90°.

There are some important Rules:

  • The leg that is opposite to the 30° angle is half of the hypotenuse.
  • The leg that is opposite to the 60° angle is the length of the leg opposite to the 30° multiplied by
    \sqrt3.

We can first solve for the leg that is opposite to the 30° angle.

Since
(7\sqrt3)/(2) is
b\sqrt3:


  • (7\sqrt3)/(2) = b\sqrt3

  • \frac72 = b

The length of b is 3.5.

We can multiply 3.5 by 2 to find the length of a.


  • \frac a2 = b

  • \frac a2 = \frac72

  • a = 7

The length of a is 7.

Help! Find the missing side lengths. Leave the answers as radicals in simplest form-example-1
User Victor Tong
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories