Anubhav- a student of class VII- was asked to construct an Isosceles right triangle ABC with hypotenuse AC -13 cm- Which of the following conclusions can help him to construct the triangle-A- The triangle cannot be constructed at allB- The other two angles are each of measure 600C- The other two sides are 5 cm and 12 cmD- The other two angles are each of measure 450

The correct option is D The other two angles are each of measure 450Since the triangle given is a right angled triangle, and it is an Isosceles triangle, let t ...

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Standard VII

Mathematics

Construction of Triangles Given 2 Sides and Included Angle

Anubhav, a st...

Question

Anubhav, a student of class VII, was asked to construct an Isosceles right triangle ABC with hypotenuse AC = 13 cm. Which of the following conclusions can help him to construct the triangle?

The other two sides are 5 cm and 12 cm

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The other two angles are each of measure 45⁰

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The triangle cannot be constructed at all

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The other two angles are each of measure 60⁰

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Solution

The correct option is B
The other two angles are each of measure 45⁰

Since the triangle given is a right angled triangle, and it is an Isosceles triangle, let the other two angles be each of measure x⁰, then
90⁰ + x⁰ + x⁰ = 180⁰
x⁰ = 45⁰

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Anubhav, a student of class VII, was asked to construct an Isosceles right triangle ABC with hypotenuse AC = 13 cm. Which of the following conclusions can help him to construct the triangle?

The correct option is B The other two angles are each of measure 450Since the triangle given is a right angled triangle, and it is an Isosceles triangle, let the other two angles be each of measure x0, then 900 + x0 + x0 = 1800 x0 = 450

The correct option is B
The other two angles are each of measure 45⁰

Since the triangle given is a right angled triangle, and it is an Isosceles triangle, let the other two angles be each of measure x⁰, then
90⁰ + x⁰ + x⁰ = 180⁰
x⁰ = 45⁰