Advertisements
Advertisements
Question
Triangles having the same base have equal area.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
∵ Area of triangle = `1/2` × Base × Height
So, area of triangle does not only depend on base, it also depends on height.
Hence, if triangles have equal base and equal height, then only their areas are equal.
APPEARS IN
RELATED QUESTIONS
If the points P(–3, 9), Q(a, b) and R(4, – 5) are collinear and a + b = 1, find the values of a and b.
Find the area of the triangle whose vertices are: (–5, –1), (3, –5), (5, 2)
Determine the ratio in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3, 7).
If area of triangle is 35 sq. units with vertices (2, −6), (5, 4) and (k, 4), then k is ______.
If `a≠ b ≠ c`, prove that the points (a, a2), (b, b2), (c, c2) can never be collinear.
Find the angle subtended at the origin by the line segment whose end points are (0, 100) and (10, 0).
Find the area of ΔABC with A(1, -4) and midpoints of sides through A being (2, -1) and (0, -1).
If the points (2, -3), (k, -1), and (0, 4) are collinear, then find the value of 4k.
The dimensions of a rectangle ABCD are 51 cm × 25 cm. A trapezium PQCD with its parallel sides QC and PD in the ratio 9 : 8, is cut off from the rectangle as shown in the following figure. If the area of the trapezium PQCD is `5/6` th part of the area of the rectangle, find the lengths QC and PD.
Area of triangle MNO in the following figure is ______.
