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.
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Answer:
x=9/2
Step-by-step explanation:
First distribute 2
2x-4-5=3-2x+6
Add the like terms on the left side -4-5=-9
2x-9=3-2x+6
Do this with the right side 3+6=9
2x-9=-2x+9
Add 9 from the left side to the right side
2x=-2x+18
Then add 2x from the right side to the left side
4x=18
Divide 4 from both sides
x=18/4 or 9/2
4m 8cm is equal to 408cm divide that by 10 equals 40.8cm
Answer:
144 (If multiplying)
Step-by-step explanation:
18x8=144.
