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malfutka [58]
3 years ago
6

The hypotenuse of a

Mathematics
2 answers:
lapo4ka [179]3 years ago
8 0

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be a^2 + b^2, where a and b are the leg lengths.

Together, we get the formula a^2 + b^2 = c^2.

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6

So the missing side is 6 cm long.

Hope this helped!

luda_lava [24]3 years ago
6 0

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = \sqrt{10^2 - 8^2}

a = 6 cm

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