Construct an isosceles triangle, given its base and base angle and justify the construction.

Construct an equilateral triangle, given its side of length of 4.5 cm and justify the construction.

Construct the following angles at the initial point of a given ray and justify the construction. 90^@

Construct the following angles at the initial point of a given ray and justify the construction. 45^@

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of /_\ABE and /_\ACD .

Angles in an isosceles Right triangle are

Given an isosceles triangle with equal side of length b and base angle alpha lt pi//4 then the circumradius R is given by

Construct is an isosceles Triangle whise base is 8 cm and altitude is 4 cm, Then, draw another Triangle whose sides are 1^1//2 times the corresponding sides of the isosceles Triangle.