Find the length of the missing side of the triangle shown below. Round
to the nearest tenth, if necessary.
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Answer: 11.7 feet.
Step-by-step explanation:
Use the Pythagorean theorem to find the missing side, [tex]a^2 + b^2 = c^2[/tex]
You are trying to find the hypotenuse, and the two smaller sides are 10 and 6. You can substitute those for a and b to find c:
[tex]6^2 + 10^2 = c^2\\\\36 + 100 = c^2 \\\\136 = c^2\\\\c = \sqrt{136}\\\\c = 11.7[/tex]
The missing side is 11.7 feet after rounding to the nearest tenth.
Answer:
11.7
Step-by-step explanation:
You must use pythagorean theorem. a² + b² = c²
a & b are the two legs.
10² + 6² = c²
Expand the exponents.
100 + 36 = c²
136 = c²
[tex]\sqrt{136}[/tex] = [tex]\sqrt{c}[/tex]
11.7 = c