Question

AB and DE are perpendiculars to
BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm.
Calculate AD.
​

Answer 1

Answer:

16 cm

Step-by-step explanation:

Given, ∠ABC=∠DEC=90∘

In △ABC and △DEC,

∠ABC=∠DEC (Each 90∘)

∠ACB=∠DCE (Common)

∠BAC=∠CDE (third angle)

Thus, △ABC∼△DEC

Hence, DEAB=DCAC

39=24−AD24

24−AD=8

AD=16 cm