ABC is an isosceles with AB = AC .
D is the mid point of the base BC .prove that triangle ABC =triangle ADC.
Answers
Answered by
25
Answer:
SSS
Step-by-step explanation:
Given:
AB=AC
D is the mid point of BC, therefore BD=CD
Join Point D to A
In triangle ABD and triangle ACD
AB=AC
BD=CD
AD=AD (common)
Hence triangle ABD is equal to Triangle ACD by SSS
Answered by
13
Given :-
- ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC.
To Find:-
- Whether ΔABD ≅ ΔACD or not .
Solution :-
[ For figure refer to attachment . ]
We know that angles opposite to equal sides are equal . So here , ∠ ACD = ∠ABD
Here in ∆ADC and ∆ADB ,
- AB = AC. [ given ]
- ∠ADC = ∠ADB. [ 90° ]
- ∠ACD = ∠ABD [ just Proved ]
Therefore by AAS congruency condition , ∆ADC ≅ ∆ABD .
Some more related Information :-
- Area of ∆ = ½ * base * height
- Area of ∆ = √[ s (s - a) (s - b) (s - c)] , where s is semiperimeter .
- Perimeter of equilateral∆ = 3*side
- Perimeter of Isosceles∆ = 2*a + b where a is equal side and c is unequal side .
Attachments:
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