A right-angled triangle may have all sides equal. State whether the statement is true or false.

Solution:

Given, a right-angled triangle may have all sides equal.

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

A right angled triangle is a triangle with one of the angles as 90 degrees.

The side opposite to the right angle is the largest side and is referred to as the hypotenuse.

Consider a right triangle ABC with A = 90 degrees,

From the figure,

AC = altitude or perpendicular or height

AB = base

BC = hypotenuse

We observe that the hypotenuse is always greater than the other two sides of a right angled triangle.

Therefore, a right angled triangle cannot have all sides equal.

✦ Try This: An equilateral triangle may have all sides equal. 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 84

A right-angled triangle may have all sides equal. State whether the statement is true or false.

Summary:

The given statement,”A right-angled triangle may have all sides equal” is false.

☛ Related Questions:

• If two angles of a triangle are equal, the third angle is also equal to each of the other two angles . . . .
• In Fig. 6.28, two triangles are congruent by RHS. State whether the statement is true or false.
• The congruent figures super impose each other completely. State whether the statement is true or fal . . . .