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umka21 [38]
3 years ago
12

In radian measure, the angles of a 45-45-90 triangle are:

Mathematics
2 answers:
jeka943 years ago
8 0

Answer:

The answer is the option A \frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}

Step-by-step explanation:

we know that

The measure of \pi radians is equal to 180\°

so by proportion

Find the measure in radians of  45\°

\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{45}\frac{radians}{degrees}\\ \\x=(45/180)*\pi \\ \\x=\frac{\pi}{4}

Find the measure in radians of  90\°

\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{90}\frac{radians}{degrees}\\ \\x=(90/180)*\pi \\ \\x=\frac{\pi}{2}

therefore

In radian measure the angles are

\frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}

Phoenix [80]3 years ago
3 0
Pie/4 , pie/4 , pie/2
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