Question

True or False; All right triangles are isosceles. ( I'm Thinking false )

Answer 1

Answer: false

Step-by-step explanation: Isosceles triangle are triangles with two equal sides.

A right angle triangles can be have two equal sides or three unequal sides. That is a right angle triangle can be an isosceles triangle or a scalene triangle.

Answer 2

Therefore, every right angle triangle is $\boxed{{\mathbf{not}}}$ an isosceles triangle.

Further explanation:

Isosceles triangles are those triangles have two equal sides.

Right angle triangles are those triangles whose one angle is of $90^\circ$.

There is not any condition on right angle triangles that two sides must be equal.

There is very less possibility that all right angle triangle is isosceles triangle.

Consider an example of right angle triangle whose sides are $3,4,5$.

Here, 5 is the hypotenuse, 3 is the perpendicular and 4 is the base of the right angle triangle.

It can be seen that all sides are unequal therefore, therefore the considered example is not an isosceles triangle.

The triangle whose all sides are unequal is called scalene triangle.

Therefore, every right angle triangle is not an isosceles triangle.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Triangles

Keywords: Triangle, sides, hypotenuse, perpendicular, base, right angle triangle, scalene triangle, lengths, isosceles triangle