Question

6) If the angles of a triangle are in the ratio of 1:2:1, find all angles. What type of triangle is this?
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Answer 1

Let the angles are 1x,2x and 1x.

A/C :

x + 2x + x = 180

=> 4x = 180

=> x = 180/4

=> x = 45

Now,x = 45°, 2x = 2×45 = 90°, x = 45°

Therefore, The angles are 45°,90°,45° and this is isosceles triangle

Answer 2

Answer:

$let \ \: the \: \: angles \: \: be \: \: x \: \: \: 2x \: \: and \: x \\ \\ using \ \: angle \: \: sum \: \: property \\ x + 2x + x = {180}^{0} \\ 4x = 180 \\ x = \frac{180}{4} \\ x = {45}^{0} \\ 2x = {90}^{0} \\ \\ this \: \: is \: \: an \: \: isosceles \: \: triangle \: \: because \: \: 2 \: \: of \: \: this \: \: triangle \: \: are \: \: equal$

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