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Gelneren [198K]
2 years ago
13

△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wha

t is the length of the other leg?
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

The answer to your question is   b = 11.31 cm  or   8\sqrt{2} cm

Step-by-step explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

second leg = ?

Process

1.- Use the Pythagorean Theorem to solve this problem

                 c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

                        18² = 14² + b²

-Solve for b

                         b² = 18² - 14²

-Simplify

                         b² = 324 - 196

                         b² = 128

-Find the prime factors of 128

                          128   2

                            64  2

                             32  2

                             16  2

                              8  2

                              4  2

                              2  2

                               1

          128 = 2⁶2¹                                    

-Result

                         b = 11.31   or   8\sqrt{2}

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Answer:

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Step-by-step explanation:

Remark

You can do this with a proportion which will save you figuring out the rate. I'll do it both ways

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======================

Remark

Often times we like questions to follow a formula. Here's the formula method.

<u>Formula</u>

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