Math, asked by aahilsanki853, 5 months ago

in the given figure,angleABC=90° degree and BD perpendicular to AC if BD is equal to 8 cm is equal to 4 cm, find CD​

Answers

Answered by itsbiswaa
2

Answer:SOLUTION :

Given, BD = 8 cm, AD = 4 cm, ∠ABC  = 90° and BD⊥AC.

we know that ,If a perpendicular is drawn from the vertex containing a right angle of a right triangle to the hypotenuse then the triangle on each side of the perpendicular are similar to each other and to the whole triangle.

So, ΔDBA∼ΔDCB  (A-A similarity)

BD/CD = AD/BD

[Since, triangles are similar, hence corresponding sides will be proportional]

BD² = AD x DC

(8)² = 4 x DC

64 = 4DC

DC = 64/4  

DC = 16  

Hence, the length of  CD is 16 cm..

HOPE THIS ANSWER WILL HELP YOU...

Answered by mdrakin19948274
0

Answer:

8

Step-by-step explanation:

c equal 30 and d equal4 c equal more 2

total = cequal 30+2=32 and d equal 4 so cd equal 32±4=36...

ans cd equal 36

Similar questions