Advertisements
Advertisements
प्रश्न
In the given figure, ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio of base BC of triangle ABC to the base CD of ΔACD.
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
∵ Area of ΔABC : Area of ΔACD = `1/2` × BC × AC : `1/2` × CD × AC ......[∵ Area of triangle = Base × Height]
= BC : CD
APPEARS IN
संबंधित प्रश्न
The perimeter of a right triangle is 60 cm. Its hypotenuse is 25 cm. Find the area of the triangle.
Find the area of the triangle ABC with A(1, −4) and mid-points of sides through A being (2, −1) and (0, −1).
The vertices of ΔABC are (−2, 1), (5, 4) and (2, −3) respectively. Find the area of the triangle and the length of the altitude through A.
Show that the following sets of points are collinear.
(1, −1), (2, 1) and (4, 5)
Find the angle subtended at the origin by the line segment whose end points are (0, 100) and (10, 0).
If A(5,2), B(2, -2) and C(-2, t) are the vertices of a right triangle with ∠B=90° , then find the value of t .
Find the area of the following triangle:
Show that the points (a + 5, a – 4), (a – 2, a + 3) and (a, a) do not lie on a straight line for any value of a.
A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3 m, wide space should be left in the front and back each and 2 m wide space on each of other sides. Find the largest area where house can be constructed.
Area of a triangle = `1/2` base × ______.