Question

The hypothenus of a right angle triangle is 13cm. if one other side of the triangle is 1cm shorter than the hypothenus, calculate the third side of the triangle

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Answer 1

5 cm.

Explanation:

Let the lengths of the other 2 sides be 13-1 = 12 and x cm.

Then by Pythagoras:

13^2 = 12^2 + x^2

x^2 = 13^2 - 12^2

x^2 = 169 - 144 = 25

x = √25

x = 5 cm.

Answer 2

Explanation:

Hey, there!!

As per your question,

There is a Right angled triangle, whose hypotenuse is 13 cm, one side is (13-1)=12 cm.

another side = ?

Let ABC be a Right angled triangle, taking angle "theta" as a refrence angle.

Hypotenuse (h)= 13 cm.

base ( b) = x

perpendicular (p)= 12cm.

By Pythagoras relation we get,

`b = \sqrt{ {h}^(2) - {p}^(2) }`

`b = \sqrt{ {13}^(2) - {12}^(2) }`

`b = √(169 - 144)`

Therefore, base is 5 cm. Or the third side is 5 cm.

Hope it helps...