Advertisements
Advertisements
Question
The median of a triangle divides it into two ______.
Options
triangles of equal area
congruent triangles
right triangles
isosceles triangles
equilateral triangle
Advertisements
Solution
The median of a triangle divides it into two triangles of equal area.
Explanation:
We know that, a median of a triangle is a line segment joining a vertex to the mid-point of the opposite side.
Thus, the median of a triangle divides it into two triangles of equal area.
APPEARS IN
RELATED QUESTIONS
Let ABCD be a parallelogram of area 124 cm2. If E and F are the mid-points of sides AB and
CD respectively, then find the area of parallelogram AEFD.
Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that:
ar(ΔAPB) × ar(ΔCPD) = ar(ΔAPD) × ar (ΔBPC)
In the below fig. X and Y are the mid-points of AC and AB respectively, QP || BC and
CYQ and BXP are straight lines. Prove that ar (Δ ABP) = ar (ΔACQ).
In the given figure, find the area of ΔGEF.
In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.
Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is
In a ΔABC, D, E, F are the mid-points of sides BC, CA and AB respectively. If ar (ΔABC) = 16cm2, then ar (trapezium FBCE) =
ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =
If AD is median of ΔABC and P is a point on AC such that
ar (ΔADP) : ar (ΔABD) = 2 : 3, then ar (Δ PDC) : ar (Δ ABC)
In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
What will happen to the area of a rectangle, if its length and breadth both are trebled?
Which has the bigger area - one of your footprints or the page of this book?
Parth and Gini bought aam papad (dried mango slice) from a shop. Their pieces looked like these. Both could not make out whose piece was bigger.
- Suggest some ways to find out whose piece is bigger. Discuss
Who had the bigger piece? How much bigger?
Karunya bought three fields.
Find the area of all three fields.
- Field (A) ____________ square metre.
- Field (B) ____________ square metre.
- Field (C) ____________ square metre.
An engineer who plans to build a compound wall on all sides of a house must find the area of the compound.
Whose footprint is larger - yours or your friend’s?
Find the area of the following figure by counting squares:
