165k views
4 votes
Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth. A) 6.13 cm B) 6.71 cm C) 9.53 cm D) 10.54 cm

Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest-example-1
User Rishikarri
by
7.3k points

2 Answers

1 vote

Answer:

c

Explanation:

i doing usa test prep

User NuclearPeon
by
6.7k points
5 votes

Answer:


b=9.53cm to the nearest hundredth.

Explanation:

The given triangle has a right angle.

So we can use SOH CAH TOA to find the value of b.

Since b is adjacent to the given angle, and we were also given the side opposite to the given angle to be 8cm, we can use the tangent ratio.


\tan 40\degree =(Opposite)/(Adjacent)


\tan 40\degree =(8)/(b)


b=(8)/(\tan 40\degree)


b=9.53cm to the nearest hundredth.

User Jon Goodwin
by
6.7k points