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sveticcg [70]
3 years ago
6

Do the side lengths 9,12, and 17 form a right triangle?

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 17 and 17² = 289

9² + 12² = 81 + 144 = 225 ≠ 289

Then the triangle is not right

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If 270 is 60% of the total was is the full total?
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The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of
wariber [46]
The measurements are:<span>
b</span>₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches<span>

Let x = length of base and leg

The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)</span><span>
Where: b = base

<span>       P = b</span>₁ + b₂ + 2(leg)</span><span>
<span>     28 = 3x + 5x + 2(x)</span>
<span>     28 = 8x + 2x</span>
28/10 = 10x/10
<span>    2.8 = x</span>

Now, substitute the values:
<span>       P = b</span>₁ + b₂ + 2(leg)</span><span>
<span>     28 = 3(2.8) + 5(2.8) + 2(2.8)</span>
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Hence the measurements are:
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