State True or False: If the angles of a triangle are in the ratio 3 : 2 : 7. Then the angles are 30°, 20° and 70°.
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If the angles of a triangle are in the ratio 3 : 2 : 7, then the angles are not 30°, 20° and 70°. Ratios are the minimum values we get after reducing the larger terms. They do not exactly mean that multiplying by any random number throughout will give the required results.
To know whether the angles are correct, we must first check the RHS part. We know that the sum of all the angles of a triangle is 180 degrees and here, 30+20+70 = 120 degrees only. Therefore we can confirm that the answer is wrong.
Actual correct answer can be procured by substituting the unknown value with x and then equating with the RHS part as 180 degrees.
3x + 2x + 7x = 180
12x = 180
x = 180/12 = 15
3x = 45 degrees
2x = 30 degrees
7x = 105 degrees
(45 + 30 + 105 = 180)
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