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2 years ago

Determining angle side relationships What are the angle measures in trainable ABC?

Mathematics

1 answer:

9966 [12]2 years ago

5 0

Answer:

m∠A=90°, m∠B=60°, m∠C=30°

Step-by-step explanation:

step 1

Verify if the triangle ABC is a right triangle

Applying the Pythagoras theorem

$12^{2}=6^{2}+(6\sqrt{3})^{2}$

$144=144$ ----> is true

therefore

Is a right triangle

m∠A=90°

Find the measure of angle C

sin(C)=AB/BC

substitute

sin(C)=6/12=1/2

m∠C=30°

Find the measure of angle B

we know that

m∠C+m∠B=90°------> by complementary angles

m∠B=90°-30°=60°

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