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Standard X

Mathematics

Converse of Basic Proportionality Theorem

In triangle D...

Question

In triangle DEF, GH is a line parallel to EF cutting DE in G and DF in H. If DE=16.5, DH=5, HF=6 GE=?

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Solution

The correct option is C
9

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Similar questions

Q. Construct

△ D E F

with

D E = 4 c m, E F = 5.5 c m

and

D F = 5 c m

In $△ D E F$ , the exterior angle at D measures $150^{\circ}$ and $∠ E$ measures $80^{\circ}$ . Which of the following options show the correct relation?

△ A B C

and

△ D E F, A B = D E, A B ∥ D E, B C = E F

and

B C ∥ E F

. Vertices

A, B

and

C

are joined to vertices

D, E

and

F

respectively. Show that

(i) quadrilateral

A B E D

is a parallelogram
(ii) quadrilateral

B E F C

is a parallelogram
(iii)

A D ∥ C F

and

A D = C F

(iv) quadrilateral

A C F D

is a parallelogram
(v)

A C = D F

(vi)

△ A B C = △ D E F

Q. In

△ A B C

and

△ D E F, A B = D E, A B ∥ D E, B C = E F

and

B C ∥ E F

. Vertices

A, B

and

C

are joined to vertices

D, E

and

F

respectively. Show that
(i) Quadrilateral

A B E D

is a parallelogram
(ii) Quadrilateral

B E F C

is a parallelogram
(ii)

A D ∥ C F

and

A D = C F

(iv) Quadrilateral

A C F D

is a parallelogram
(v)

A C = D F

(vi)

△ A B C ≅ △ D E F

Q. Construct triangle DEF such that EF =5cm ,m angle DFE=30,DF-DE=2cm

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In triangle DEF, GH is a line parallel to EF cutting DE in G and DF in H. If DE=16.5, DH=5, HF=6 GE=?

The correct option is C 9

The correct option is C
9