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It is possible to have a triangle in which two of the angles are right angles. State whether the statement is true or false.

Solution:

Given, it is possible to have a triangle in which two of the angles are right angles.

We have to determine if the given statement is true or false.

A right angle is an angle that measures 90 degrees.

Consider a triangle ABC,

According to the question, two angles of a triangle are 90 degrees

By angle sum property of a triangle,

∠A + ∠B + ∠C = 180°

90° + 90° + ∠C = 180°

∠C = 180° - 180°

∠C = 0°

C ≠ 0°

Therefore, a triangle cannot have two right angles.

✦ Try This: It is possible to have a triangle in which one angle is obtuse and other angle is acute. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 78

It is possible to have a triangle in which two of the angles are right angles. State whether the statement is true or false.

Summary:

The given statement,”It is possible to have a triangle in which two of the angles are right angles” is false.

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