Question

.In an equilateral triangle, perpendiculars are
drawn on three sides from an interior point.
The lengths of the perpendiculars are 2 cm, 3
cm, and 5(V3 - 1) cm. Find the side of the
triangle.​

Answer 1

Answer:

Area of the triangle is

Solution:

The sides of an equilateral triangle ABC is denoted by S that is sides

The triangle Diagram is attached below.

Now as we can see the three perpendiculars as

The perpendiculars are denoted as OX=14cm; OZ=6cm; OY=10cm

Therefore, the area of the triangle ABC should be equal to the sum of areas of triangles AOC, COB, BOA

Let us equate the areas, we get:

area of ABC=area of AOC+area of COB+area of BOA  

Therefore, the length of the sides of the triangle ABC is

Area of the triangle is

Step-by-step explanation: