Question:

In ABC seg AP is a median. If BC = 18, AB2 + AC2 = 260 Find AP.

Answer:

Given AP is the median.
PC = BC/2
PC = 18/2 =9
AB²+AC² = 2AP²+2PC² [Apollonius theorem]
260 = 2AP²+2×9²
2AP² = 260-2×9²
2AP² = 260-162
AP² = 68/2 = 49
Taking square roots on both sides
AP = 7
Hence AP = 7 units.

About Us

At AI Shiksha, we are driven by a singular mission – to democratize access to artificial intelligence education. We believe that AI is a transformative force that has the power to shape the future, and we are committed to making this cutting-edge technology accessible to everyone.

In ABC seg AP is a median. If BC = 18, AB2 + AC2 = 260 Find AP.

About Us

Pages

Policies

Social Media