Question

How many different non congruent triangles can we draw with two sides 8 and 6cm and 12square cm

Answer 1

There are two possible triangles

Area of triangle = 1/2 ab Sin∅


1/2ab Sin∅ = 12

1/2 x 8 x 6 Sin∅ = 12

24Sin∅ = 12

Sin∅ = 0.5

∅ = $30^{0}$

or

∅ = $150^{0}$


The first triangle can have an angle of 30 degrees between the lines and the second can have and angle of 150 degrees between the lines

Answer 2

Answer:

Step-by-step explanation:

There are two possible triangles

Area of triangle = 1/2 ab Sin∅

1/2ab Sin∅ = 12

1/2 x 8 x 6 Sin∅ = 12

24Sin∅ = 12

Sin∅ = 0.5

∅ =

or

∅ =

The first triangle can have an angle of 30 degrees between the lines and the second can have and angle of 150 degrees between the lines