Question

Draw an eqularatal triangle with one side 6cm . Draw a right angled triangle of the same area

Answer 1

Step-by-step explanation:

draw triangles where all sides are equal

Answer 2

Answer:

This question can be solved by the following method

Step-by-step explanation:

Now,

Area of Triangle = ½ × base × height

Here, base = a, and height = h

Now, apply Pythagoras Theorem in the triangle.

a2 = h2 + (a/2)2

⇒ h2=a2–a2/4

⇒ h2=(3a2)/4

Or, h=½(√3a)

Now, put the value of “h” in the area of the triangle equation.

So,

Area of Triangle = ½ × base × height

⇒ A = ½ × a × ½(√3a)

Or, Area of Equilateral Triangle = ¼(√3a2)