Find the length x in a right triangle. Express your answer in simplified radical form.
left side = 10
right side = x
bottom = 8
2006-11-01 13:35:45 · 4 answers · asked by jazminda S 1 in Science & Mathematics ➔ Mathematics
You didn't say which side is the hypotenuse (the longest side, the one that doesn't help form the right angle). To solve this problem, you have to use the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the other two sides and c is the hypotenuse.
If the left side is the hypotenuse, then x^2 + 64 = 100, so x^2 is 36, so x = 6.
If the right side is the hypotenuse, then 100 + 64 = x^2, so x = root(164). Simplified, x = 2*root(41). (You factor out 2^2.)
The bottom can't be the hypotenuse because it's shorter than the left side.
Hope this helps!
2006-11-01 13:44:10 · answer #1 · answered by Amy F 5 · 0⤊ 0⤋
x could be 6
or Sqrt[8^2+10^2]=
Sqrt[64+100]=
Sqrt[164]=
2Sqrt[41]
which answer is correct depends on which side of your triangle is the hypoteneuse since you don't say
2006-11-01 13:44:54 · answer #2 · answered by Greg G 5 · 0⤊ 0⤋
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2016-10-21 03:03:59 · answer #3 · answered by gaidos 4 · 0⤊ 0⤋
2sqrt41
2006-11-01 13:47:47 · answer #4 · answered by chimodzimodzi 2 · 0⤊ 0⤋