Question
State the basic proportionality theorem.

Answer

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct point, then the other sides are divided in the same ratio.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Short-Answer Question:
If $\alpha$ and $\beta$ are the zeroes of a polynomial $f(x) = x^2 - 5x + k$, such that $\alpha-\beta=1$ find the value of k.
The diameter and thickness of a hollow metals sphere are 12 cm and 0.01 m respectively. The density of the metal is 8.88 gm per cm3. Find the outer surface area and mass of the sphere.
Find the probability that a number selected at random from the numbers 1, 2, 3, ....., 35 is a:
  1. Prime number.
  2. Multiple of 7.
  3. A multiple of 3 or 5.
The base PQ of two equilateral triangles PQR and PQR' with side $2a$ lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.
In the adjoining fig. $\square A B C D$ is a trapezium $A B \| C D$ and its area is $33 cm^2$. From the information given in the figure find the lengths of all sides of the $\square A B C D$. Fill in the empty boxes to get the solution.
The speed of a boat in still water is $8km/hr$. It can go $15\ km$ upstream and $22\ km$ downstream in $5$ hours. Find the speed of the stream.
A chord of a circle of radius $14cm$ makes a right angle at the centre. Find the areas of the minor and major segments of the circle.
Solve the following quadratic equations by factorisation : 6√3 x² + 7x = √3
If the sum of the roots of the quadratic equation $a x^2+b x+c=0$ is equal to the sum of the squares of their reciprocals, then prove that $2 a^2 c=c^2 b+b^2 a$.
Find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficients:
$4x^2 - 4x + 1$