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Alborosie
3 years ago
10

A Pair of shoes you want is on sale for one-third off the original price. If the original price is $24 , what is the sale price?

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

$16 is the sale price

Step-by-step explanation:

"one-third off the original price" can be expressed in numbers as:

($24 - (1/3)*$24)

(24 - 8)

$16 is the sale price

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Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

<h3>What is the Pythagoras Theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In △ABD and △ACB,

∠A = ∠A (common)

∠ADB = ∠ABC (both are right angles)

Thus, △ABD ∼ △ACB (by AA similarity criterion)

Similarly, we can prove △BCD ∼ △ACB.

Thus △ABD ∼ △ACB,

Therefore, AD/AB = AB/AC.

We can say that AD × AC = AB².

Similarly, △BCD ∼ △ACB.

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CD/BC = BC/AC.

We can also say that

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Adding these 2 equations, we get

AB² + BC² = (AD × AC) + (CD × AC)

AB² + BC² =AC(AD +DC)

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Hence proved

Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Learn more about Pythagoras theorem from:

brainly.com/question/343682

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