If M is the mid-point of the side BC of ABC, and the area of ABM is 19 cm2 , then the area of ABC is:
38 cm2
The correct answer is 38 cm 2.
Centroid Division: The centroid divides each median in a 2:1 ratio, with the longer segment being from the vertex to the centroid. Area Division by Centroid: The three medians divide the triangle into six smaller triangles of equal area. If the area of ABC is A, then the area of each of these six triangles (formed by medians and centroid) is A/6. Understanding these properties is crucial for solving various geometry problems involving triangles and their medians.
Important Questions from Triangles, Congruence and Similarity
The radius of the circumcircle of an equilateral triangle of √3 unit side, is:
If the ratio of the angles of a triangle is 3 : 5 : 7, find the value of the largest angle.
A. 36°
B. 60°
C. 84°
D. 15°
If ΔABC and Δ PQR are similar and \(\rm\frac{BC}{QR} = \frac{1}{3}\) , find \(\rm\frac{ar(\Delta PQR)} {ar(\Delta BCA)}\)
If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the smallest angle.
ABCD is a parallelogram. Side BC is produced to E such that BC = CE. Join AE which intersects side CD at P. The area of triangle ABE is:
