MyQuestionIcon

1

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

Equal Angles Subtend Equal Sides

In Δ ABC, A...

Question

In $Δ A B C, A E = 20 c m, A B = 8 c m$ , find $B D =$

A

12 c m

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

B

13 c m

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

C

14 c m

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

D

15 c m

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

Open in App

Solution

The correct option is A $14 c m$
$Δ B C E$ is a $30 - 60 - 90$ angled triangle.
$C E -$ hypotenuse

By $30 - 60 - 90$ theorem,
Side opposite to $30 ° =$ half of hypotenuse
$= (1 / 2) \times C E$ $
$= (1 / 2) \times 12$

Therefore,
$C D = 6$

Now,
$B D = B C + C D$
$B D = 8 + 6$
$B D = 14 c m$

Hence, this is the answer.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Using Heron's formula find the area of ∆ABC in which BC = 13 cm, AC = 14 cm and AB = 15 cm.

In a $Δ$ ABC, AB= 15 cm, BC = 13 cm and AC= 14 cm. Find the area of $Δ$ ABC and hence its altitude on AC.

Q. In the given figure,

Suppose AB, AC and BC have lengths 13 cm, 14 cm and 15 cm respectively. If

\frac{A F}{F B} = \frac{3}{8} a n d \frac{C E}{E A} = \frac{6}{9}

, then find BD and DC.

Q. In a ΔABC, AB = 15 cm, BC = 13 cm and AC = 14 cm. Find the area of ΔABC and hence its altitude on AC.

Q. In a ∆ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE || BC :

(i) AB = 12 cm, AD = 8 cm, AE = 12 cm and AC = 18 cm.
(ii) AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 and AE = 1.8 cm.
(iii) AB = 10.8 cm, BD = 4.5 cm, AC = 4.8 cm and AE = 2.8 cm.
(iv) AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and EC = 5.5 cm

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Triangle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equal Angles Subtend Equal Sides

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon