35.1k views
4 votes
the ratio of the measures of the three angles in a triangle is 10:3:7 find the measure of the largest angle

User Harry J
by
7.8k points

2 Answers

3 votes

Answer:

The largest angle is 90 degrees

Step-by-step explanation:

The three angles of a triangle add to 180

The ratio is 10 : 3: 7

Multiply each by x

10x, 3x 7x

Add them together and set equal to 180

10x+3x+7x = 180

Combine like terms

20x = 180

Divide by 20

20x/20x =180/20

x = 9

The largest angle is 10x

10*9 = 90

The largest angle is 90 degrees

User Artem Malinko
by
8.8k points
2 votes

Answer:

The largest angle is 90 degrees

Explanation:

The three angles of a triangle add to 180

The ratio is 10 : 3: 7

Multiply each by x

10x, 3x 7x

Add them together and set equal to 180

10x+3x+7x = 180

Combine like terms

20x = 180

Divide by 20

20x/20x =180/20

x = 9

The largest angle is 10x

10*9 = 90

The largest angle is 90 degrees

User Jesse Schoff
by
8.8k 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