Mountains

2. We have the same isosceles triangle ABC, with AB=AC=30cm, BC=36cm Point D is on the segment AM, where M is the midpoint of the base BC, so that AD=20cm. Requirements: a) Calculate the area of ​​the large triangle ABC. b) Calculate the area of ​​the small triangle DBC. c) Find what percentage of the area of ​​the large triangle is the area of ​​the small triangle.

1. Consider the isosceles triangle ABC with AB=AC=20cm BC=24cm Point D is on the altitude from A, so that triangle DBC is also isosceles, with DB=DC D is at a distance of 12cm from line BC. Requirement: a) Determine the measure of angle ∠BAC. b) Determine the measure of angle ∠BDC.

3. Triangle ABC is isosceles with AB=AC=17cm, ∠BAC=40 Point D lies on the altitude from A such that triangle DBC is isosceles, with DB=DC=15cm. Requirements: a) Calculate the length of base BC. b) Calculate the distance between points A and D. c) Calculate the area of ​​triangle ADC.