Questions
4.1 What is the height of maximum area equilateral triangle?
4.2 What is the side of that triangle?
4.3 Find the area of triangle?
4.4 What is the ratio of area of these two triangles?
Answers
4.1.The height of an equilateral triangle can be found using the formula h = √3 / 2 × a. Therefore, when we plug in 12 for a, we get that the height of the equilateral triangle is 10.4 centimeters.
4.2Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs.
4.3.A=(h×b)/2
4.4If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.