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Goshia [24]
3 years ago
11

In the right triangle shown, AC = BC and AB = 8V2.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

Each leg is 8 units long

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Any right triangle must satisfy the Pythagorean Theorem

so

c^2=a^2+b^2

where

c is the hypotenuse (greater side)

a and b are the legs (perpendicular sides)

In this problem we have

a=AC\\b=BC\\AC=BC\\c=AB=8\sqrt{2}\ units

substitute

(8\sqrt{2})^2=a^2+b^2

(8\sqrt{2})^2=2a^2

128=2a^2

a^2=64\\a=8\ units

therefore

AC=BC=8\ units

Each leg is 8 units long

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