In the adjoining figure, $Δ A B C$ is right angled at $B$ . Its legs are $8 c m$ and $6 c m$ . Find the length of perpendicular $B N$ on the side $A C$

4.8 c m

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

4 c m

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

3.9 c m

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

8.8 c m

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

Open in App

Solution

The correct option is A $4.8 c m$
$A C = 10 c m$ () by pythagoras
$tan θ = 6 / 8$
$θ = {tan}^{- 1} (3 / 4)$
$sin θ = \frac{B N}{8}$
$B N = 4.8 c m$

Suggest Corrections

Similar questions

Q. Question 17

In the given figure,

Δ M N O

is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is

(a) 4.8 cm
(b) 3.6 cm
(c) 2.4 cm
(d) 1.2 cm

Q. In the adjoining figure, ∆ABC is right-angled at B and ∠A = 30°. If BC = 6 cm, find (i) AB, (ii) AC.

Q. If AB and AD are of length 6 cm and 4.8 cm, then find the length of AC and BC, if

△ A B C

is a right-angled triangle having area 24

c m^{2} .

In Figure a $Δ$ ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC are of lengths 8 cm and 6 cm respectively. Find the lengths of sides AB and AC, when area of $Δ$ ABC is 84 $c m^{2}$ .

Q. In right ∆ABC, teh lengths of its legs are given as a = 6 cm and b = 4.5 cm. Find the length of its hypotenuse.

Join BYJU'S Learning Program

In the adjoining figure, ΔABC is right angled at B. Its legs are 8 cm and 6 cm. Find the length of perpendicular BN on the side AC

The correct option is A 4.8 cmAC=10 cm() by pythagorastanθ=6/8θ=tan−1(3/4)sinθ=BN8BN=4.8 cm

In the adjoining figure, $Δ A B C$ is right angled at $B$ . Its legs are $8 c m$ and $6 c m$ . Find the length of perpendicular $B N$ on the side $A C$

The correct option is A $4.8 c m$
$A C = 10 c m$ () by pythagoras
$tan θ = 6 / 8$
$θ = {tan}^{- 1} (3 / 4)$
$sin θ = \frac{B N}{8}$
$B N = 4.8 c m$