Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the measures of the angles in a triangle with the ratio of 2:7:9


Sagot :

Answer:  20, 70, 90

====================================================

Work Shown:

Let x be some positive real number.

Multiply each part of the given ratio by x to get 2x:7x:9x

So we have the three angles 2x, 7x, and 9x.

For any triangle, the three angles must add to 180

2x+7x+9x = 180

18x = 180

x = 180/18

x = 10

This leads to

  • 2x = 2*10 = 20
  • 7x = 7*10 = 70
  • 9x = 9*10 = 90

The three angles of this triangle are: 20, 70, 90

This is a right triangle due to the 90 degree angle.