Abc Is A Right Triangle
Construct a triangle ABC where DE is perpendicular to BC
Consider the △ DAC and △ DEC
We know that
∠ BAC = ∠ DAC = 90o
From the figure we know that CD bisects ∠ C
So we get
∠ DCA = ∠ DCE
We know that CD is common i.e. CD = CD
By AAS congruence criterion
△ DAC ≅ △ Dec
So we know that DA = DE …… (one)
Air-conditioning = EC (c. p. c. t) ….. (two)
Information technology is given that AB = Ac
We know that the angles contrary to equal sides are equal
∠ B = ∠ C
We know that the sum of angles of △ ABC is 180
∠ A + ∠ B + ∠ C = 180
By substituting the values
ninety + ∠ B + ∠ B = 180
On further calculation
2 ∠ B = 180 - 90
ii ∠ B = 90
By division
∠ B = 45
Considering the △ BED
We know that ∠ BED = 90
And so we can write information technology equally
∠ BDE + ∠ B = 90
By substituting the values
∠ BDE + 45o = xc
On further calculation
∠ BDE = ninety - 45
By subtraction
∠ BDE = 45
It tin can be written equally
∠ BDE = ∠ DBE = 45
We know that DE and BE are the equal sides of isosceles triangle
DE = BE …….. (iii)
Past comparison the equations (1) and (3)
We get
DA = DE = Be …… (4)
We know that BC = Exist + EC
By considering the equations (ii) and (iv)
We get
BC = DA + AC
We tin too write information technology as
Air-conditioning + AD = BC
Therefore, information technology is proved that Air conditioning + Advertizement = BC.
Abc Is A Right Triangle,
Source: https://www.lidolearning.com/questions/m-bb-rsaggarwal9-chp9-ex9a-q10/-abc-is-a-right-triangle-right/
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