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The sides of a triangle are in the ratio 3 : 4 : 5 the triangle is:
Question

The sides of a triangle are in the ratio 3 : 4 : 5 the triangle is:


A.

right angled

B.

obtuse angled

C.

acute angled

D.

either acute angled or right angled

Correct option is A

Given:

ratio of sides of triangle = 3 : 4 : 5

Formula Used:

The Pythagorean theorem states that for a right-angled triangle:

Hypotenuse2=Base2+Height2\text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2​​



Solution:

Hypotenuse2=Base2+Height2\text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2 

c2=a2+b2c^2 = a^2 + b^2 

52=32+425^2 = 3^2 + 4^2 

25 =16+9

25=25 

so, this is a right angle triangle.


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