In the given figure- AE BF CG - CD - DE and AB -7-2 cm- find BC-A- 14-4 cmB- 7-2 cmC- 3-6 cmD- 10 cm

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Equal Intercept Theorem

In the given ...

Question

In the given figure, AE||BF||CG , CD = DE and AB = 7.2 cm , find BC .

14.4 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7.2 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3.6 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 7.2 cm
According to equal intercept theorem,
since CD=DE
Therefore AB=BC and EF=GF
$∴$ BC=AB=7.2cm

Suggest Corrections

Similar questions

In the given figure, AE||BF||CG , CD=DE and FE = 4cm. Then determine GE.

E and F are the midpoints of the sides AB and AC respectively of $Δ A B C$ ; G and H are the midpoints of sides AE and AF respectively of the $Δ A E F .$ If GH=1.8 cm, find BC.

Q. In ∆ABC, DE is drawn parallel to BC, cutting AB and AC at D and E, respectively, such that AB = 7.2 cm, AC = 6.4 cm and AD = 4.5 cm. Find AE.

(a) 5.4 cm
(b) 4 cm
(c) 3.6 cm
(d) 3.2 cm

Q. In the given figure AB = DC and AD = 5 cm. Find BC.

Q. In the given figure, we have AB || CD || EF. If AB = 6 cm, CD = x cm, EF = 10 cm, BD = 4 cm and DE = y cm, Calculate the values of x and y.

Join BYJU'S Learning Program

In the given figure, AE||BF||CG , CD = DE and AB = 7.2 cm , find BC .

The correct option is B 7.2 cmAccording to equal intercept theorem, since CD=DE Therefore AB=BC and EF=GF ∴ BC=AB=7.2cm

The correct option is B 7.2 cm
According to equal intercept theorem,
since CD=DE
Therefore AB=BC and EF=GF
$∴$ BC=AB=7.2cm