Question
State the midpoint theorem.
✓
Answer
The line segment joining the mid-points of any two sides of a triangle is parallel to the third side.
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Similar questions
$D$ and $E$ are points on the sides $AB$ and $AC$ respectively of a $\triangle\text{ABC}.$ In the following cases, determine whether $DE || BC$ or not.
$AD = 5.7\ cm, DB = 9.5\ cm, AE = 4.8\ cm$ and $EC = 8\ cm.$
→$AD = 5.7\ cm, DB = 9.5\ cm, AE = 4.8\ cm$ and $EC = 8\ cm.$
Write the value of k for which the system of equations has infinitely many solutions.
→$2x - y = 5$
$6x + ky = 15$
Find the greatest number which divides $285$ and $1249$ leaving remainders $9$ and $7$ respectively.
→Show that the system of equations:
$2x - 3y = 5, 6x - 9y = 15$
has an infinite number of solutions.
→$2x - 3y = 5, 6x - 9y = 15$
has an infinite number of solutions.
$ABCD$ is a quadrilateral in which $AD = BC$. If $P, Q, R, S$ be the midpoints of $AB, AC, CD$ and $BD$ respectively, show that $PQRS$ is a rhombus.
→Solve for $x$ and $y:$
$\text{x}+\frac{5}{\text{y}}=\text{6},$
$\text{3x}-\frac{8}{\text{y}}=\text{5}\ (\text{y}\neq0).$
→$\text{x}+\frac{5}{\text{y}}=\text{6},$
$\text{3x}-\frac{8}{\text{y}}=\text{5}\ (\text{y}\neq0).$
Show that the following numbers are irrational.
$6+\sqrt{2}$
→$6+\sqrt{2}$
What is the cumulative frequency of the modal class of the following distribution$?$
→|
Class
|
$3-6$
|
$6-9$
|
$9-12$
|
$12-15$
|
$15-18$
|
$18-21$
|
$21-24$
|
|
Frequency
|
$7$
|
$13$
|
$10$
|
$23$
|
$4$
|
$21$
|
$16$
|
A container open at the top, is in the form of a frustum of a cone of height $24\ cm$ with radii of its lower and upper circular ends as $8\ cm$ and $20\ cm$ respectively. Find the cost of milk which can completely fill the container at the rate of $Rs. 21$ per litre.
→If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $p(y) = 5y^2- 7y + 1$, find the value of $\frac{1}{\alpha}+\frac{1}{\beta}$
→