# CBSE Class 10 Answered

**point A lies in the exterior of a circle with center P and radius 8 cm A tangent from A touches the circle at if AB=15 cm find PA**

Asked by sinhkaran79 | 14 Mar, 2021, 12:59: PM

Expert Answer

Given: AB = 15cm and Radius PB = 8 cm

As tangent is perpendicular to radius, so we have AB pis perpendicular to PB

So, triangle PBA is a right angled triangle at B

By Pyhtagoras theorem, we get

AP

^{2}= PB^{2}+ AB^{2} = 64 + 225

= 289

Therefore, AP = 17 cm

Answered by Renu Varma | 15 Mar, 2021, 02:07: PM

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