In the given figure, D and E are the mid-points of
the sides AB and AC respectively. If BC = 6.6 cm,
B = 62°, compute (i) DE (ii) angle ADE.
E
Answers
Answer:
It is given that,
D and E are the midpoint of sides AB and AC
BC=5.6 cm and ∠B=72
o
To find: DE
In △ABC,
D and E are the mid point of the sides AB and AC
⇒DE∥BC and DE=
2
1
BC[ Using mid point theorem ]
∴DE= 1/2 ×5.6=2.8 cm
Step-by-step explanation:
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Answer:
Here we join DE . and from converse of mid-point theorem , we get
DE | | BC , So
In Δ∆ ABC and Δ∆ ADE , we get
We take AB as transversal lines , So
∠∠ ABC = ∠∠ ADE ( Corresponding angles )
So,
∠∠ ADE = 62°° ( Ans )
And
∠∠ ACB = ∠∠ AED ( Corresponding angles )
So,
Δ∆ ABC ~~ Δ∆ ADE ( by AA rule )
So,
ad/de = ab/bc
ad/dc = 2ad/6.6
1/de = 2/6.6
de = 6.6/2
therefore
DE=3.3 cm
Step-by-step explanation:
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