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Find the missing side of each triangle GIVE STEP BY STEP PLEASE!!!

Find the missing side of each triangle GIVE STEP BY STEP PLEASE!!!-example-1

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Answer:

1. C)
3.6 \, \textrm{cm}

2. A)
4√(10)

Explanation:

Utilize the Pythagorean Theorem for both problems:


a^2+b^2=c^2

where
a and
b are the right triangle's legs (short sides adjacent to the right angle) and
c is its hypotenuse.

1) Form an equation using the above formula.


8.7^2 + x^2 = 9.4^2

Next, isolate x.


x^2 = 9.4^2 - 8.7^2


x = √(9.4^2 - 8.7^2)

Finally, plug the square root into a calculator and round the result to get:

C)
3.6 \, \textrm{cm}

2) Form an equation using the Pythagorean Theorem.


6^2 + x^2 = 14^2

Next, isolate x.


x^2 = 14^2 - 6^2


x^2 = 196 - 36


x^2 = 160


x = √(160)

Finally, use prime factorization to simplify the square root.


x = \sqrt{10 \cdot 16


x = √((2 \cdot 5) \cdot 2^4)


x = 2^2 √(2 \cdot 5)

A)
4√(10)

User Miguel Grinberg
by
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