Question

find the interior angles of a triangle if they are in the ratio: 1:1:2​

Answer 1

Step-by-step explanation:

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Answer 2

Given:-    

• Sides of the triangle are in ratio = 1 : 1 : 2

To find:-

• find the interior angles of a triangle

Assume:-  

• Let the angles be X

so angles are,

• 1x : 1x : 2x

Solution:-

By angle sum property,

$\qquad\sf{:\implies\:\angle\:A\:+\:\angle\:B\:+\:\angle\:C\:=\:180°}$

$\qquad\sf{:\implies\:1x\:+\:1x\:+\:2x\:=\:180°}$

$\qquad\sf{:\implies\:4x\:=\:180°}$

$\qquad\sf{:\implies\:x\:=\:\dfrac{180°}{4}}$

$\qquad\sf{:\implies\:x\:=\:\dfrac{45°}{ 1}\:=\:45°}$

Hence angles are,

• $\boxed{\sf{1x\:=\:1\:\times\:45\:°\:=\:45\:°}}$

• $\boxed{\sf{1x\:=\:1\:\times\:45\:°\:=\:45\:°}}$

• $\boxed{\sf{2x\:=\:2\:\times\:45\:°\:=\:90\:°}}$