Question

In figure Ap. AQ and AC are the tangents drawn to a circal if AP=10cm then find the perimeter of the ABC​

Answer 1

Answer:

             20 cm

Step-by-step explanation:

From the given diagram we can see that AP = 10cm

If AP = 10 the AQ = 10 Because AQ and AB are the tangent to the circle from a common point A

Similarly, PB = BM and CM =CQ

Also, AP =AB + PB and AQ = AC + CQ

To find the Perimeter of triangle ABC

Perimeter of ABC = AB + BM + CM + AC

                   = AB + PB + CQ + AC  (since PB = BM and CM =CQ)

                   = (AB + PB) + (CQ + AC)

                   = AP + AQ =10 +10 =20cm

Therefore Perimeter of triangle ABC = 20 cm