Question

if the sides of a triangle is in the ration 3:4:5, prove that it is a right angled triangle

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Ratio of the sides of the triangle : 3:4:5

Right angled triangle means 90° .

So , 3:4:5 = 90°

Let us take 'x' .

3x+4x+5x=90° .

12x = 90°

x = 90/12

x = 7.5

Put in the values .

3x= 7.5 × 3 = 22.5°

4x = 7.5 × 4 = 30°

5x = 7.5 × 5 = 37.5 °

So , 3:4:5 = 22.5° : 30° : 37.5°

To prove : 3:4:5 = Right Angled Triangle .

3x+4x+5x= 90°

22.5+30+37.5=90°

90°=90°

Hence , proved .

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