Question

the angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle.Classify the triangle in two different ways.

Answer 1

LET ABC BE TE TRIANGLE

LET ANGEL A=X

ANGEL B=2X

ANGLE C=X

NOW  

ANGLE A+ANGLE B +ANGLE C=180

X+2X+X=180

4X=180

X=45

THEREFORE ANGLE A=45

aNGLE B=90

ANGLE C=45

SINCE ANGLE A=ANGLE C ITS AN ISOCLES TRIANGLE

ANGLE B IS 90 SO ABC IS RIGHT ANGLE TRAINGLE

Answer 2

Heya
here is your answer

let those three angles be 1x, 2x, 1x
then according to the angle sum property of a triangle
x + 2x + x = 180°
4x = 180°
x = 180°÷4
= 45°

so the angles are 45° , 45° , 2×45°= 90°

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