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45 votes
45 votes
I need help solving this math problem. I have tried multiple times but still cannot get the right answer

I need help solving this math problem. I have tried multiple times but still cannot-example-1
User Sona Shetty
by
2.6k points

1 Answer

13 votes
13 votes

Answer:

CD < DB < BC.

Explanation:

To evaluate the sides, we have to compare the angles.

The largest angle is opposite to the largest side.

The middle-sized angle is opposite to the middle-sized side.

The smallest angle is opposite to the smallest side.

So, to find the missing angle, we have to know that the sum of the intern angles of a tringle is 180°.

Let x be the missing angle.

Then, x + 63 + 75 = 180°

x = 180 - 75 - 63

x = 42°

Then, we can compare the sides.

42° is the smallest angle. CD is the opposite side to 42°. Then, CD is the smallest side.

63° is the middle-sized angle. DB is the opposite side to 63°. Then, DB is the middle-sized side.

75° is the largest angle. BC is the opposite side to 75°. Then, BC is the largest side.

So,

CD < DB < BC.

User Daniel Fone
by
2.9k points
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