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Natasha2012 [34]
1 year ago
12

HELP PLEASE PYTHAGOREOM THEOREM

Mathematics
1 answer:
sp2606 [1]1 year ago
7 0

Pythagorean Theorem:

a^2 + b^2 = c^2

Since 10 and 24 are the legs, "x" has to be the hypoteneuse.  "a" and "b" are the legs (10 and 24).

Now, replace the values in.

10^2+24^2 = x^2

x^2 = 100+576\\x^2 = 676\\x = 26

Hope this helped! :)

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Answer:

The area of the figure is;

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Step-by-step explanation:

The given figure is a composite figure consisting of a rectangle AINE and a triangle AIL

The dimensions of the rectangle AINE are;

Length, L = 48 in.

Height, h = 32 in.

The area of the rectangle AINE, A₁ = Length, L × Height, h

∴ A = L × h = 48 in. × 32 in. = 1,536 in.²

The area of the triangle AIL, A₂ = 1/2 × Base × Height of the triangle

The base length of the triangle, L = IA = 48 in.

The height of the triangle, ht = 12 in.

∴ A₂ = L × ht

A₂ = 48 in. × 12 in. = 576 in.²

The area of the triangle AIL, A₂ = 576 in.²

The area of the figure, A = The area of the rectangle, A₁ + The area of the triangle, A₂

A = A₁ + A₂

∴ A = 1,536 in.² + 576 in.² = 2,112 in.²

The area of the figure, A = 2,112 in².

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3 years ago
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