ΔABC is right angles at B and D is any point on AB. DE is perpendicular to AC. If AD = 4 cm, AB = 16 cm, AC = 24 cm find AE.

Open in App

Solution

It is given that AD = 4 cm, AB = 16 cm and AC = 24 cm.

We need to find AE.

In ΔADE and ΔABC:

∴ ΔABC ||| ΔAED

Suggest Corrections

Similar questions

Q. ABC is a right angled at B. D is any point on AB. Seg DE is perpendicular to seg AC IF AD=6cm AB=12cm AC=18cm. Find AE.

A B C

is a right angled triangle with

∠ A B C = 90^{o}

D

is any point on

A B

and

D E

is perpendicular to

A C

. Prove that :
(i)

△ A D E \sim △ A C B

.
(ii) If

A C = 13 c m

B C = 5 c m

and

A E = 4 c m

. Find

D E

and

A D

.
(iii) Find, area of

△ A D E :

area of quadrilateral

B C E D

ABC is a right angled triangle with $∠$ ABC = $90^{\circ}$ . D is any point on AB and DE is perpendicular to AC. Prove that : (i) $Δ$ ADE~ $Δ$ ACB. (ii) If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD. (iii) Find, area of $Δ$ ADE : area of quadrilateral BCED.