**Perpendiculars are drawn from a point within an equilateral triangle to the three sides. Prove that the sum of the three perpendiculars is equal to the altitude of the triangle.**

**Solution:**

**More Solutions:**

- Prove that the quadrilateral is a parallelogram.
- Find the area of parallelogram ABCD.
- Prove that: area of ∆AER = area of ∆AFR.
- Prove that area of ∆ABP = area of ∆ACQ.
- Calculate the length of a chord.
- Calculate its distance from the centre of the circle.
- Calculate the radius of the circle.
- Calculate the length of the chord.
- Find the length of the chord of the same circle.
- In a circle of radius 5 cm.