In a ∆ ABC, AD ⊥ BC, BE ⊥ AC. If AD = 4 cm, BE = 5 cm, CD = 6 cm
| In a ∆ ABC, AD ⊥ BC, BE ⊥ AC. If AD = 4 cm, BE = 5 cm, CD = 6 cm then find the length of CE.
A. 7.5 cm
B. 8 cm
C. 6 cm
D. 8.5 cm
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
In ∆ CDA & ∆ CEB,
∠C = ∠C ( common angle)
∠CEB = ∠ADC (each 90°)
∠CAD = ∠CBE (third angle)
Hence, ∆ CDA ~ ∆ CEB.
So,
⇒ 
⇒ 
⇒ 
