Question

Find the lengths of the hypotenuses (x) of the triangle whose legs are given

1) 7cm,24cm

Answer 1

c^2 = 625
c = 25
hyp = 25

Answer 2

The length of the hypotenuse is 25 cm.

Explanation:

We can use the Pythagorean theorem to find the hypotenuse.

Pythagorean theorem states

`a^2+b^2=c^2`

Where
`a` and
`b` are the legs or sides of the triangle.

The hypotenuse is
`c`.

We can solve for
`c` by taking the square root of both sides of the equation.

`c=√(a^2+b^2)`

We are given

`a=7\\b=24`

Lets evaluate
`c.`

`c=√(7^2+24^2)`

`c=√(49+b^2)`

`c=√(49+576)`

`c=√(625)`

`c=25`

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