Question

In the given figure EA and FB are perpendicular to AB, If AO = 10 cm, BO = 6 cm, FB = 9 cm then EA is ??
(a) 5.4cm
(b) 6.6cm
(c) 15cm
(d) 20cm​

Answer 1

Answer:

15CM

BRO I BY MISTAKE USED THE WRONG NAME FOR EA AND FB BUT ANSWER IS CORRECT MARK ME THE BRAINLIEST PLZPZLZPL

Step-by-step explanation:

In triangles AOQ and BOP, we have

        ∠OAQ=∠OBP           [Each equal to 90∘]

        ∠AOQ=∠BOP           [Vertically opposite angles]

Therefore, by AA-criterion of similarity

        △AOQ∼△BOP

⇒   BOAO=OPOQ=BPAQ

⇒    BOAO=BPAQ

⇒   610=9AQ

⇒    AQ=610×9=15cm