1.

If the angles of a triangle are in the ratio 3:4:5 determine the three anglesstep by step plz

Answer»

☞Given :-

The three angles of a triangle are in the ratio 3 :4 :5.

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☞To find :-

Find the three angles of the triangle ?

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☞Formula used :-

3 angles of the triangle = 180 degree ( sum of all sides of triangle is 180 degree)

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☞Solution :-

First,

Let the ratio 3:4:5 be 3X, 4x and 5x.

so,

2X + 3x + 4x = 180 degree

12x = 180 degree

x = \frac{180}{12}

x = 15.

Than,

Angle 1 = 3x = 3 * 15 = 45 degree

Angle 2 = 4x = 4 * 15 = 60 degree

Angle 3 = 5x = 5 * 15 = 75 degree.

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☞For verification :-

45 degree + 60 degree + 75 degree = 180 degree.

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Hopes, it's helpful.

ItzNobita5 ^_^


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