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e-lub [12.9K]
3 years ago
8

What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?

Mathematics
1 answer:
Paul [167]3 years ago
7 0

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

c^2 = a^2 + b^2

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625

Taking square root on both sides,

c = \sqrt{625}\\\\c = 25

Hence the length of hypotenuse is 25 cm

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Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
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A = h*(b1+b2)/2
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------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
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d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
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In this case the perimeter is,
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Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
3 years ago
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