2. We have the isosceles triangle ABC, with AB=AC=30cm, BC=36cm.[br]Point D is on the segment AM, where M is the midpoint of the base BC, so that AD=20 cm.[br][br]Requirements:[br]a) Calculate the area of the large triangle ABC.[br]b) Calculate the area of the small triangle DBC.[br]c) Find what percentage of the area of the large triangle is the area of the small triangle.
[size=100]S[/size][size=50]ABC [size=100]= 432 cm[sup]2[/sup][/size][sup][br][/sup][/size][size=85][size=100]S[size=50]DBC[/size] = 72 cm[sup]2[br][/sup][/size][size=100]16.67%[/size][/size]
1. Consider the isosceles triangle ABC with[br]AB=AC=20cm[br]BC=24cm[br][br]Point D is on the altitude from A, so that triangle DBC is also isosceles, with DB=DC[br]D is at a distance of 12cm from line BC.[br][br]Requirement:[br]a) Determine the measure of angle ∠BAC.[br]b) Determine the measure of angle ∠BDC.
3. Triangle ABC is isosceles with AB=AC=17cm, ∠BAC=40[br]Point D lies on the altitude from A such that triangle DBC is isosceles, with DB=DC=15cm.[br][br]Requirements:[br]a) Calculate the length of base BC.[br]b) Calculate the distance between points A and D.[br]c) Calculate the area of triangle ADC.