Write the following statement in five different ways, conveying the same meaning
p : If a triangle is equiangular, then it is an obtuse angled triangle

Solution:

The given statement can be written in five different ways as follows.

(i) A triangle is equiangular implies that is an obtuse-angled triangle.

(ii) A triangle is an obtuse-angled triangle only if it equiangular.

(iii) For a triangle to be an obtuse-angled triangle, it is necessary that the triangle is equiangular.

(iv) For a triangle to be equiangular, it is sufficient that the triangle is an obtuse-angled triangle.

(v) If a triangle is not an obtuse-angled triangle, then the triangle is not equiangular

NCERT Solutions Class 11 Maths Chapter 14 Exercise ME Question 7

Write the following statement in five different ways, conveying the same meaning. p : If a triangle is equiangular, then it is an obtuse angled triangle.

Summary:

The given statements can be written in different ways:

(i) A triangle is equiangular implies that is an obtuse-angled triangle
(ii) A triangle is an obtuse-angled triangle only if it equiangular
(iii) For a triangle to be an obtuse-angled triangle, it is necessary that the triangle is equiangular
(iv) For a triangle to be equiangular, it is sufficient that the triangle is an obtuse-angled triangle
(v) If a triangle is not an obtuse-angled triangle, then the triangle is not equiangular