Question

Three 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.

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Answer 1

Answer:

let the angles of the triangle be,$\rm{\red{1x \: 2x \: 1x}}$

the sum of all angles of a triangle is equal to $\blue{180°}$

$\rm{ \pink{1x + 2x + 1x = 180°}}$

$\rm{ \pink{4x = 180°}}$

$\rm{ \pink{x = \frac{180°}{4} }}$

${\pink{ \rm{x = 45°}}}$

${ \pink{ \rm{\therefore \: \angle1 = 45° \angle2 = 90° \angle3 = 45°}}}$

${ \purple{ \rm{since \: 2 \: angles \: are \: equal \: \: we \: can \: say \: that \: it \: is \: an \: isosceles \: triangle}}}$

$</strong><strong>\</strong><strong>rm{\green{</strong><strong>\bigstar}}$