Question
$\triangle DEF$ is an equilateral triangle. seg DP$ \perp$ side EF , E-P-F. Prove that : $DP ^2=3 EP ^2$
✓
Answer
self
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If a $\triangle\text{ABC},$ AD is the bisector of $\angle\text{A},$ Meeting side BC at D.
If AC = 4.2cm, DC = 6cm and BC = 10cm, find AB.
→→If AC = 4.2cm, DC = 6cm and BC = 10cm, find AB.
The foot of a ladder is $6m$ away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is $8m$ away from the wall, to what height does its tip reach?
→Very-Short and Short-Answer Questions:
Write the number of solutions of the following pair of linear equations:
$x + 3y - 4 = 0, 2x + 6y - 7 = 0$
→→→Write the number of solutions of the following pair of linear equations:
$x + 3y - 4 = 0, 2x + 6y - 7 = 0$
If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $f(x) = x^2+ px + q$, find a quadratic polynomial whose zeroes are:
→→- $\alpha+2 ,\beta+2$
- $\frac{\alpha-1}{\alpha+1},\frac{\beta-1}{\beta+1}.$
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
- Red.
- Black.
If the sum of the zeros of the quadratic polynomial $f(t)=k t^2+2 t+3 k$ is equal to their product, find the value of $k$.
→