Q- If the ratio of sines of angles of a triangle is 1- 1 -2 then the ratio of square of the greatest side to sum of the squares of other two sides is

The correct option is C 1:1Ratio of sines = 1:1:√(2) = 1/√(2):1/√(2):1 nbsp;ie the angles are 45, 45 and 90 The triangle is a isosceles right triangle Then ...

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Standard IX

Mathematics

If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Q. If the rat...

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Q. If the ratio of sines of angles of a triangle is $1 : 1 \sqrt{2}$ then the ratio of square of the greatest side to sum of the squares of other two sides is

\sqrt{2} : 1

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1 : \sqrt{2}

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1:1

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1:2

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2:1

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Solution

The correct option is C 1:1
Ratio of sines $= 1 : 1 : \sqrt{2} = \frac{1}{\sqrt{2}} : \frac{1}{\sqrt{2}} : 1$
ie the angles are 45, 45 and 90 The triangle is a isosceles right triangle Then ratio of square of greatest side (hypotenuse) to the sum of squares of other two sides = 1:1

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Q. If the ratio of sines of angles of a triangle is 1:1√2 then the ratio of square of the greatest side to sum of the squares of other two sides is

The correct option is C 1:1Ratio of sines =1:1:√2=1√2:1√2:1 ie the angles are 45, 45 and 90 The triangle is a isosceles right triangle Then ratio of square of greatest side (hypotenuse) to the sum of squares of other two sides = 1:1

Q. If the ratio of sines of angles of a triangle is $1 : 1 \sqrt{2}$ then the ratio of square of the greatest side to sum of the squares of other two sides is

The correct option is C 1:1
Ratio of sines $= 1 : 1 : \sqrt{2} = \frac{1}{\sqrt{2}} : \frac{1}{\sqrt{2}} : 1$
ie the angles are 45, 45 and 90 The triangle is a isosceles right triangle Then ratio of square of greatest side (hypotenuse) to the sum of squares of other two sides = 1:1