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.
Therefore,
CD/BC = BC/AC.
We can also say that
CD × AC = BC².
Adding these 2 equations, we get
AB² + BC² = (AD × AC) + (CD × AC)
AB² + BC² =AC(AD +DC)
AB² + BC² = AC²
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:
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What order does the star shown here have?
</span>
<span>
B. order 3 </span>
Answer:
This is the ever best answer. All the best
Answer:
The change is a decrease of $2700.
Step-by-step explanation:
Given
Total Number of people = 27
Amount each person withdrew = $100
The total withdrawn amount by 27 people = 100 × 27
= $2700
Let M be the amount of money in the ATM at the beginning.
As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:
It means the change is a decrease of $2700.
Answer:
15x^2-2x-8
Step-by-step explanation:
i did it on a paper just don't want to write cause its going to be to much to write hope this helps good luck
