Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Triangles and Its Construction, Exercise 4: EXERCISE 16.4

Draw a triangle $ABC$ of any dimension and determine its orthocentre.

 Draw an isosceles triangle $ABC$ with base $BC = 6cm$ and $AB = AC = 4 cm$. Draw its altitude $BM$ and $CN$ on sides $AC$ and $AB$ respectively. Is $BM =CN$?

Construct an equilateral triangle $ABC$ of side $5 cm$. Draw its altitudes and measure their lengths. Are they equal?

Construct a triangle $ABC$ in which $AB = 3cm BC = 4cm$ and $AC = 5cm$. Draw the perpendicular bisector of the sides of this triangle. Where does the circumcentre lie.

Draw an equilateral triangle with all sides equal to $7 cm$. Find its centroid, orthocentre and circumcentre. What do you conclude?

Draw a triangle $ABC$ where $BC = 5cm AB = 4.2cm$ and $AC = 6cm$. Find the incentre and draw the circle:

Draw a AABC in which BC = 6.2 cm, LABC = 120° and BCA = 20. Find its circumcentre and draw its circumcircle.

Draw a $△ABC$ where $BC=5.4 cm$, $\angle B=\angle C=65°$. Draw the bisectors of $\angle B$ and $\angle C$. Let these angle bisectors $BM$ and $CN$ meet $AC$ and $AB$ respectively. Measure $BM$ and $CN$. Are they equal?