Find the length, in inches, of the larger side of a right triangle with an area of 294 square inches if its hypotenuse is 35 inches long.
2007-04-15 12:02:33 · 5 answers · asked by duh baby 1 in Science & Mathematics ➔ Mathematics
I am not sure if this is the proper procedure. This seemed logical.
angle A, opposite the vertex of angle A is little a or the opposite side.
I assume This is a 30-60-90 degrree right triangle
The hypotenuse is 35 inches
sinθ = y / r
sin30 = y / 35
35sin30 = 35(y/35)
35sin30 = y
35(0.5) = y
17.5 inches
The opposite side is 17.5 inches
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Solving for the adjacent side
cosθ = x / r
cos30 = x / 35
35cos30 = 35(x/35)
35cos30 = x
35(0.866025404) = x
30.31088913 inches = x
The adjacent side is 30.31088913 inches
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Putting it together
Pythagorean Theorem
c² = a² + b²
√c² = ± √(17.5)² + (30.31088913)²
√c² = ± √306.25 + 918.7499999
√c² = ± √1225
c = 35
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The length of the opposite side is 17.5 inches
The length of the adjacent side is 30.31088913 inches.
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My caculation is wrong
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2007-04-15 13:00:22 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
It truly relies upon on the type of triangle... i'm in simple terms assuming this would be an actual triangle... the main effortless type of precise triangle is a 3x4x5. A 6x8x10 is in simple terms a version of that. The lacking side is genuinely 10 if this would be an actual triangle. right this is the way you artwork that: If this would be an actual triangle, you utilize the Pythagorean’s Theorem. The formula for that's: a²+b²=c² So, what you do relies upon on which side is your hypotenuse, or the side opposite of the the ideal option perspective. once you try to discover the hypotenuse, then you definately could say 6²=36; and eight²=sixty 4 you may upload those 2 at the same time. 36=sixty 4= one hundred then you definately could discover the sq. root of one hundred, it truly is ten. So, the lacking side could be 10 cm. while you're searching for one in each and every of the different 2 factors you may do the comparable element. you may fill in as plenty suggestions as you could into the formula, then you definately could in simple terms artwork it out as I did previously. i'm hoping that facilitates!
2016-12-16 06:46:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The hypotenuse is the longest side of a triangle, so the answer is 35 right?
sorry if it wasn't too helpful
2007-04-15 12:07:18 · answer #3 · answered by Elicia 1 · 0⤊ 0⤋
1/2bh=294
bh=588
b^2+h^2=35^2
b=28 and h=21 or b=21 and h=28
2007-04-15 12:07:28 · answer #4 · answered by leo 6 · 0⤊ 0⤋
35in is the answer :)
The hypotenuse is always the longest sdie of a right triangle
2007-04-15 12:08:58 · answer #5 · answered by Crimehawk 1 · 0⤊ 0⤋