Quantitative:

Question

The angles of a triangle in ratio 1:1:2 , find the ratio of the longest side and perimeter of the triangle?

Sagart21 · Answer

1:1:2 has to be 45-45-90 triangle
Sides - 1:1:root2
Ans - root2/(2+root2)

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GmatKnightTutor · Answer

1 :1 : 2 = 4

45:45:90 = 180

Might help to get familiar with the common right angle ratios from this point. All the best

jhavyom · Answer

The angles of the triangle are in the ratio
1:1:2 ---> 45:45:90

Now, if a 45:45:90 triangle has a hypotenuse of √2 units, the other two sides will be 1 unit each.
Side ratio ---> 1:1:√2

\frac{Longest side}{Perimeter} = \frac{√2}{(1+1+√2)}

\frac{Longest side}{Perimeter} = \frac{√2}{(2+√2)}

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