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:
brainly.com/question/343682
#SPJ1
Answer:
The data A, B, C and D are Qualitative.
The data remains qualitative even when inputed as 1, 2, 3 and 4
Step-by-step explanation:
The data consisting of A, B, C and D is Qualitative , reason being that they can only be classified into categories.
Also, when the data is inputed as 1, 2, 3 and 4; the data remains Qualitative because theycannotbemeaningfully addd , subtracted, multiplied or divided.
Answer:
17.7
Step-by-step explanation:
This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.
100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540
190 +19x + 13 = 540
203 + 19x = 540
19x = 337
x = 17.7
Answer:
The first picture is B and the second one is (0,-3)
If the bikes original price was $112.99...
and it's 75% off you have to multiply the original price by the percentage thats left which is 25%...
$112.99×.25%=28.25
ANSWER: b)28.25