Question

if sides of a triangle are in a ratio 3:4:5 prove that it is a right angled triangle

Answer 1

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Answer 2

Answer:

It is a Right angled triangle

Step-by-step explanation:

This can be solved with a neat little concept called Pythagorean triples. If the sum of the square of the 2 smaller numbers is equal to the square of the bigger number then it's a Pythagorean triple. Therefore :

let's name the sides as x

• so, 3x² + 4x²= 5x² is the condition for it to be a right angled triangle
• 3x²= 9x
• 4x²= 16x
• 5x²= 25x

so now, since 9+16= 25,

The condition is satisfied and it is ,therefore, proven to be a right angled triangle.