Question

rhe sides of a triangle are in the ratio of 3:4:5 state whether the triangle is right angled or not​

Answer 1

Answer: WE ALL KNOW WHAT IS A PYTHAGOREAN TRIPLET. AS WE KNOW THAT THE GROUP OF ( 3, 4, 5 ) IS A PYTHAGOREAN TRIPLET, WE CAN CLEARLY SAY THAT THE PYTHAGORUS THEORM WILL BE APPLIED OVER HERE. ABD FROM HERE WE CAN CONCLUDE THAT THE TRIANGLE HAVING ITS SIDES AS 3,4 AND 5 CENTIMETER RESPECTIVELY WILL BE A RIGHT ANGLED TRIANGLE BECAUSE THE PYTHAGOREAN THEORM CAN ONLY BE APPLIED IN A RIGHT ANGLED TRIANGLE. FOR FURTHER DOUBTS PLEASE CONTACT 9999079091.

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Answer 2

Given :-

• ratio of sides of a triangle is 3:4:5

Solution :-

let the sides of the triangle 3x , 4x and 5x

now, apply Pythagoras theorem

H² = B² + P²

$\bold{: \implies {(5x)}^{2} = {(3x)}^{2} + {(4x)}^{2} } \\ \\ \bold{: \implies 25 {x}^{2} = 9 {x}^{2} +16 {x}^{2} } \: \: \: \: \: \: \\ \\ \bold{: \implies 25 {x}^{2} = 25 {x}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

LHS = RHS

so, sides of triangle follow Pythagoras theorem means Pythagoras theorem can be applied on it.

hence, triangle is right angles triangle