Question

IN triangle ABC,the medians BP and CQ are perpendicular to each other and intersect at R if BP=8 cm and CQ= 12cm ,find the area of triangle ABC​

Answer 1

Given: Medians BP and CQ are perpendicular to each other, BP= 8cm , CQ = 12cm.

To find:  The area of triangle ABC?

Solution:

• Let the intersection point of the median be Z

• Now from the triangle we can understand that Z is the centroid of the triangle ABC.

• So, since Z is the centroid, we get:

         CZ = 2QZ

         8/2 = QZ

         QZ = 4 cm

• So, area ∆PBC = 1/2 * 8 * 8 = 32cm².

• So now as we know that the median divides the triangle into two equal areas, so:

                  area ∆ABC =  area ∆BPC x 2

                  = 2 x 32 cm²

                  = 64 cm²

Answer:

         So, the area of triangle ABC is 64 cm².

Answer 2

Answer:

hope this can you a lot mark .e brainliest