Question

How many non congruent triangles can be drawn with side 6cm and 8cm and area 12cm

Answer 1

Correct Question:

How many non congruent triangles can be drawn with side 6cm and 8cm and area 24cm.

Answer:

• Only one non congruent triangle will be possible with given 2 sides (6cm & 8cm) & with the area will be ${24cm}^{2}$

Given:

1. Base = 6cm
2. Height = 8cm
3. Area = ${12cm}^{2}$

To Find:

• How many Non congruent can be drawn with two sides (6cm & 8cm).

Formula Used:

• $\red{Area \: of \: triangle = \frac{1}{2} \times b \times h}$

Solution:

$\implies \frac{1}{ \cancel{2}} \times 6 \times \cancel{8}$

$\implies 1 \times 6 \times 4$

$\implies 24$

It means only one non congruent triangle will be possible with these 2 sides because after Finding the area of triangle with this two sides the answer of 1 side $= {24cm}^{2}$