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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Use the quadratic formula -b+/-√b^2 -4(ac) / 2a
-4 +/- √(4^2 - 4(1*10) / (2*1)
X = -2 +/- i√6
Answer: 2, 1.5 , -0.75
(b) 
Step-by-step explanation:
Given
line is 
Converting it into intercept form

So, the x-intercept is
and y-intercept is 
The slope is given by

(b) the line perpendicular to the above line and passing through 
The slope of the required line

Equation of the line is given by

Answer:
A. what is the profit made by the retailer if he sells the article to the customer at the catalogue price?
10000
B.What profit is made by the manufacturer if the catalogue price is 50% above the manufacturing price?
25000