Question

the angles of a yriangle plot are inthe ratio 6:4:2measure all the three angles​

Answer 1

Answer:

6x + 4x + 2x = 180⁰

12x = 180⁰ => x = 180/12 = 15

Angles are 90⁰, 60⁰ and 30⁰

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Answer 2

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ratio of angles of a traingle us 6:4:2

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90° , 60° and 30°

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since ratio of angles is 6:4:2

let angles of a triangle are 6x, 4x and 2x

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sum of angles of a triangle is 180°

$\implies \: 6x + 4x + 2x = 180 \\ \implies \: 12x = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \implies \: x = 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

now substitute the value of x in angles..

angles of triangle are;

$6 \times 15 = 90 \degree \\ \\ 4 \times 15 = 60 \degree \\ \\ 2 \times 15 = 60 \degree$

so angles of a triangle are,

90° , 60° and 30°

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perimeter of ∆ = sum of sides of ∆

area of ∆ = 1/2 × base × hight

by heron's formula..area of ∆ ;

$= \sqrt{s( s - a)(s - b)(s - c)} \\ \\ where \: s = \frac{a + b + c}{2}$

hypotenuse is the greatest side of a right angle triangle

sum of angles of a triangle is 180°

angles opposite to equal sides are equal in a ∆

sides opposite to equal angles are equal in a ∆

exterior angle of a ∆ is equal to sum of two opposite sides of a ∆