Question

Draw a triangle of two sides 4 cm and 3 cm and write the peculiarities of its areas

Answer 1

Given : two sides of triangle 4 cm 3 cm

To find : Draw Triangle & Found area

Solution:

Step 1 : Draw a line segment AB = 3 cm

Step 2 : Draw a Semicircle Using radius 4 cm and taking A as center

Step 3 : Now taking any point on Semicircle except point on Diameter and label it is C

Step 4 : Join AC & BC

ΔABC is constructed

Two Sides of triangle are 4 cm & 3 cm

Third Side of triangle will lie in between

4 - 3 & 4 + 3

1 < third side length < 7

Area of Triangle = (1/2) * 3 * 4 Sin α

α - angle between two Sides

Area of triangle would be maximum when Sin α = 1

=> α = 90°

Area of Triangle = (1/2) * 3 * 4 Sin 90 = 6 cm²

Maximum possible area of triangle when third Side = 5

as third side increases or Decreases from 5, area of triangle will Decrease

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