# Angles of a triangle are in the ratio 3 : 4 : 5. The largest angle of the triangle is?URGENT PLEASE!!!

2
by Yasmin
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2014-08-21T11:53:39+05:30
The ratio of the three angles of a triangle is 3:4:5. find the measure of the largest angle
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smallest: 3x
middle:4x
largest: 5x
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Equation:3x + 4x + 5x = 180
12x = 180
x = 15
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largest: 5x = 5*15 = 75 degrees
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Cheers,
2014-08-21T12:05:35+05:30

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Let the angles be x°
Then,
We know perimeter of a triangle is the sum of all its sides so According to problem we must have to find out the value of x° to be correct.

3x + 4x + 5x = 180
⇒ 12x = 180
⇒    x = 180/12
⇒    x = 15

Therefore x° = 15

Here the largest in ratio is 5 so we can write that 5x is the largest angle.

5x = 5×15 = 75°

Thus the largest angle is 75°.