Q. 193.7( 3 Votes )
If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?
∠1, ∠2 and ∠3 be the angles of the triangle which are in the ratio 3: 4: 5 respectively.
∠1 = 3k
∠2 = 4k
∠3 = 5k
We know that,
∠1 + ∠2 + ∠3 = 180o
3k + 4k + 5k = 180o
k = 15o
∠1 = 3 * 15o = 45o
∠2 = 4 * 15o = 60o
∠3 = 5 * 15o = 75o
Thus, smallest angle is 45o.
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