Question

in a right angle triangle the hypotenuse is 10 cm more than the shortest side. If third side is 6 cm less than the hypotenuse, find the side of the right angle triangle​

Answer 1

Step-by-step explanation:

Let the length of shorter side be x cm

Now length of hypotenuse is 10 cm more than x, so it will be x + 10 cm

Given length of third side is 6 cm less than hypotenuse, so it will be x + 10 - 6 = x + 4 cm

We know that Pythagoras theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.

So (x + 10)^2 = x^2 + (x + 14)^2

We get x^2 - 12 x - 84 = 0

We know x = - b ± √b^2 - 4ac / 2 aif

x = 12 + √144 + 336 / 2

x = 16.9 cm

So we get shorter side as 16.9 cm

Now hypotenuse = x + 10 = 16.9 + 10 =

26.9 cm and third side = x + 4 = 16.9+420.9 cm

So sides are 16.9 cm, 26.9 cm and 20.9 cm

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