Question

if each angle of a triangle is less than the sum of the other two, show that the triangle is acute angle​

Answer 1

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

Medium

Answer

Let ∠A<∠B+∠C. Then,

2∠A<∠A+∠B+∠C⇒2∠A<180

∘

⇒∠A<90

∘

Similarly, we obtain ∠B<90

∘

and ∠C<90

∘

=> Each angle of the triangle is less than 90° and hence it is an acute-angled triangle.

Answer 2

$\huge\red{A}\pink{N}\orange{S}\green{W}\blue{E} \gray{R}$

The power of a lens is defined as the reciprocal of the focal length. Lens power is measured in dioptres (D). Converging (convex ) lenses have positive focal lengths, so they also have positive power values. Diverging (concave ) lenses have negative focal lengths, so they also have negative power values.

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