The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.

Rocco May

Rocco May

Answered question

2023-03-11

The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.
A) 30
B) 45
C) 60
D) 75

Answer & Explanation

smakkie8iz

smakkie8iz

Beginner2023-03-12Added 5 answers

The correct answer is B: 45
Given that the angles of a triangle are in the ratio 3:4:5.
Let the measure of the angles be 3x,4x,5x.
We know that, the sum of the angles of a triangle = 180
Thus,
3 x + 4 x + 5 x = 180
12 x = 180
x = 180 12
x = 15
Thus,
Smallest angle =3x
= 3 × 15
= 45

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