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The Sides of Certain Triangles Are Given Below. Determine Which of Them Right Triangles Are. 1.4cm, 4.8cm, 5cm - Mathematics

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Question

The sides of certain triangles are given below. Determine which of them right triangles are. 

1.4cm, 4.8cm, 5cm 

Solution

For the given triangle to be right-angled, the sum of the two sides must be equal to the square of the third side.
Here, let the three sides of the triangle be a, b and c. 

A= 1.4 cm, b= 4.8 cm and c= 5 cm
Then, 

`a^2+b^2=(1.4)^2+(4.8)^2` 

`=1.96+23.04` 

=25 

`c^2=5^2` 

=25 

`a^2+b^2=c^2`  

Thus, the given triangle is right-angled.  

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Chapter 4: Triangles - Exercises 4

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RS Aggarwal Mathematics [English] Class 10
Chapter 4 Triangles
Exercises 4 | Q 1.3
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