Math, asked by joshkjomon, 9 months ago

(those who will answer it i will mark as brainliest) In the given figure, AD ⊥ BC, AD ⊥ EF and ∠EAB = ∠FAC. Prove that ∆ ABD ≅ ∆ ACD.

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Answered by tanishkagupta17
2

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arsh642

14.01.2020

Social Sciences

Secondary School

+15 pts

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In the figure alongside, AD ⊥ BC, AD ⊥ EF and ∠1 = ∠4. Prove that ∆ ≅∆ ABD ACD.

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Yashg203

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277 people helped

Answer:

given = AD perpendicular to BC as well as EF

angle 1 = angle 4

To prove = Triangles ABD and ACD are congruent

proof = in triangle ABD and ACD

as AD is perpendicular to EF

it simplies that angle DAF = DAE {Each 90 degree}

so subtracting equal angles that is angle 1 and angle 2 from angle DAF and DAE

=angle 2 = angle 3. (ANGLE)

AD = AD. (COMMON SIDE)

angle ADB=angle ADC (Given)

hence both triangles are congruent by ASA congruency rule

hope its help

please mark it as brainlist

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Answered by d687cyoyo
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hope it helps you friends

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