Question

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

Answer 1

c

Explanation:

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Answer 2

`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.