Question

Draw triangles with two sides 4 cm 3 cm. write the peculiarities of its areas​

Answer 1

Answer:Both triangles have same area

Step-by-step explanation:■Consider a triangle ABC with sides 4,3, and 6 cms. •Have height 2cm

So, area=1/2 bh=1/2×6×2=6sq.cm

■Similarly consider another triangle PQR with sides 4,3 and 5cms have height 4cm

So, Area=1/2bh=1/2×3×4=6 sq cm

Answer 2

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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