Question

state whether or not the following pairs of triangles are congruent. if they are , give reasons... don't write only answers write whole solution

Answer 1

Answer:  Not congruent

Step-by-step explanation:

The side lengths of the first triangles are as follows :

$5\frac{3}{8}\ cm,\ 4\frac{5}{8}\ cm,\ 6\frac{1}{8}\ cm$

Convert them in decimals we get,

$5.375\ cm,\ 4.625\ cm,\ 6.125\ cm$

We know that 1 cm = 10 mm

Then, the  side lengths of the first triangles are as follows :

$53.75\ mm,\ 46.25\ mm,\ 61.25\ mm$

The side lengths of the second triangles are as follows :

$53.75\ mm,\ 6.25\ mm,\ 61.25\ mm$

Since, $46.25\neq6.25$, then the triangles are not congruent.

Answer 2

Step-by-step explanation:

The side lengths of the first triangles are as follows :

5\frac{3}{8}\ cm,\ 4\frac{5}{8}\ cm,\ 6\frac{1}{8}\ cm5

8

3

cm, 4

8

5

cm, 6

8

1

cm

Convert them in decimals we get,

5.375\ cm,\ 4.625\ cm,\ 6.125\ cm5.375 cm, 4.625 cm, 6.125 cm

We know that 1 cm = 10 mm

Then, the side lengths of the first triangles are as follows :

53.75\ mm,\ 46.25\ mm,\ 61.25\ mm53.75 mm, 46.25 mm, 61.25 mm

The side lengths of the second triangles are as follows :

53.75\ mm,\ 6.25\ mm,\ 61.25\ mm53.75 mm, 6.25 mm, 61.25 mm

Since, 46.25\neq6.2546.25



=6.25 , then the triangles are not congruent.