Question

Is triangle ADB congruent to TriangleADC? Give reasons

Answer 1

Given :- Is triangle ADB congruent to TriangleADC? Give reasons ? (Refer to image for diagram.)

Solution :-

from image we have :-

• BD = DC = 3cm.
• AD ⟂ BC .

So,

in ∆ADB and ∆ADC, we have,

→ AD = AD (common)

→ ∠ADB = ∠ADC (AD ⟂ BC so, 90°)

→ DB = DC (given both 3cm.)

Thus,

→ ∆ADB ~ ∆ADC (By SAS) { If any two sides and angle included between the sides of one triangle = The corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule. }

Hence, ∆ADB is congruent to ∆ADC .

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Answer 2

Answer:

Thank you

Step-by-step explanation:

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