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Maths Puzzle
In a triangle the measures of a greatest angle is square of the measure of the smallest angle, and the other angle is double of the smallest angle. Find the greatest angle of the triangle.
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- Greatest angle=144 degree
If Smallest angle=x,Greatest angle=y & other angle=z
then y=x^2 & z=2x, so x+x^2+2x=180, x^2+3x-180=0,(x+15)(x-12)=0 or x=12
So greatest angle=y=12^2=144 degree - 11 years agoHelpfull: Yes(0) No(0)
- solving the quadratic equation x^2+3x-180 the values for x the smallest angle is 12 deg so the largest angle is 144 deg.
- 11 years agoHelpfull: Yes(0) No(0)
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