Question

14. If fronta point inside an equilateral
triangle, the lengths of perpendicu
lars dun on the sides are 3 cm 19
10cm and 15 cm respectively, then
the height of the triangle is​

Answer 1

with this plz confirm in book

Answer 2

Step-by-step explanation:

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.

Thinking Process

(i) From a interior point a triangle, three triangle will be formed Determine area of each triangle by using the formula = 1/2 (Base x Height).

(ii) Determine the area of an equilateral triangle by using the Heron’s formula i.e.,

(iii) Further, equate the area of triangle by Heron’s formula and the sum of all three triangle. Simplify it to get the side of D. Hence, find area of the triangle.