The correct option is D 6 We can see that, ABC ∼ DFE by AAA Similarity Criterion ⇒AC/DE = BC/FE ⇒5/10 = n+3/18 ⇒ 10(n + 3) = 90 ⇒ n+3 = 9 ⇒ n = 6 ...

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

Proportion in Similar Triangles

Find n.

Question

Find n.

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

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

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

Open in App

Solution

The correct option is C
6

We can see that, $△ A B C \sim △ D F E$ by AAA Similarity Criterion

$\Rightarrow \frac{A C}{D E} = \frac{B C}{F E}$

$\Rightarrow \frac{5}{10} = \frac{n + 3}{18}$

$\Rightarrow 10 (n + 3) = 90$

$\Rightarrow n + 3 = 9 \Rightarrow n = 6$

Suggest Corrections

Similar questions

n (A) = 10, n (B) = 12

n (A \cap B) = 6

n (A \cup B)

Group	$6 - 8$	$8 - 10$	$10 - 12$	$12 - 14$	$14 - 16$	$16 - 18$	$18 - 20$
Frequencies	$12$	$20$	$16$	$15$	$17$	$8$	$12$

Class:	$3 - 6$	$6 - 9$	$9 - 12$	$12 - 15$	$15 - 18$	$18 - 21$	$21 - 24$
Frequency:	$2$	$5$	$10$	$23$	$21$	$12$	$3$

n (A) = 18

n (B) = 12

A \cap B = \emptyset

n (A \cup B) =

Class interval:	0−6	6−12	12−18	18−24	24−30
Frequency:	7	5	10	12	6

Join BYJU'S Learning Program