193k views
3 votes
In triangle ABC, m∠C = 90°, c = 17, and a = 8, then which of the following is the measure of side b?

2 Answers

1 vote
a^2+b^2=c^2
64+b^2=289
b^2=225
b=√225
b=15
User Aamer
by
8.3k points
4 votes

Answer:


b=15

Explanation:

We have been given that in triangle ABC, m∠C = 90°, c = 17, and a = 8. We are asked to find the measure of side b.

Since the measure of angle C is 90 degree, so our given triangle is a right triangle, where side c is the hypotenuse of triangle.

We will use Pythagoras theorem to solve for side b as:


c^2=a^2+b^2


17^2=8^2+b^2


289=64+b^2


64+b^2=289


64-64+b^2=289-64


b^2=225

Now, we will take square root of both sides of our equation.


b=\pm√(225)


b=\pm 15

Since length cannot be negative, therefore, the length of side b is 15.

User Thonnor
by
8.2k 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