given the BAG LIP AND BA =10 , AG =12,BG=16, AND IP=2×+6 FIND THE LENGTH OF THE SIDES OF THE TWO TRIANGLES
Answers
Given :- ∆BAG ≅ ∆LIP , BA = 10 , AG = 12, BG = 16, AND IP = 2x + 6 .
To Find :- The length of sides of the two triangles .
Answer :-
we know that, when two ∆'s are congruent , then,
- Their corresponding three side lengths are equal.
since we have given that, ∆BAG ≅ ∆LIP .
so,
→ BA = LI
→ AG = IP
→ BG = LP
then,
→ BA = 10 (given)
→ LI = 10
→ AG = 12 (given)
→ IP = (2x + 6) = 12 and, => 2x = 12 - 6 => x = 3 .
→ BG = 16 (given)
→ LP = 16 .
therefore, sides of ∆BAG are :-
- BA = 10
- AG = 12
- BG = 16
and, sides of ∆LIP are :-
- LI = 10
- IP = 12
- LP = 16 .
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