AMT ~ AHE In AMT, AM = 6.3cm, TAM – 500
,
AT – 5.6 cm AM = 7
AH 5
Construct AHT
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Answer
ΔAMT∼ΔAHE.
AH
AM
=
HE
MT
=
AE
AT
=
5
7
In ΔAMT, AM=6.3 cm,AT=4.9 cm and ∠A=120
∘
.
Draw a ray from point A forming an acute angle with AT on the opposite side of M. Divide the ray into 7 equal parts such that AS
1
=S
1
S
2
=S
2
S
3
=S
3
S
4
=S
4
S
5
=S
5
S
6
=S
6
=S
7
Join S
7
with T. From S
5
, draw a line ∥ to S
7
T and let it intersect AT at E.
Draw EH∥TM.
ΔAEH is the required similar triangle.
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