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A
a = 10
C = 15
B
b
Find the length of b using
the Pythagorean Theorem.
Hint: a² + b² = c²
Round your answer to the nearest tenth.


Sagot :

Applying the Pythagorean theorem, the length of b, to the nearest tenth, is: 11.2.

What is the Pythagorean Theorem?

The Pythagorean theorem is the theorem that is applied when finding any length of a right triangle. Where a and b are the smaller sides of the right triangle, and c is the longest side (hypotenuse) of the right triangle, the Pythagorean theorem states that: a² + b² = c².

We are given the following regarding a right triangle:

a = 10 (one of the smallest side)

c = 15 (the longest side/hypotenuse)

Plug in the values into a² + b² = c²:

10² + b² = 15²

100 + b² = 225

Subtract 100 from both sides

100 + b² - 100 = 225 - 100

b² = 125

Square both sides

√b² = √125

b ≈ 11.2

The length of b, to the nearest tenth, is: 11.2.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/343682

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