The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

6.0 cm
6.1 cm
8.4 cm
8.5 cm

Respuesta :

Answer:

6.1 cm

Step-by-step explanation:

it depends on what your teacher told you and wants to see.

because, theoretically, it would be 6.0 cm. but that would render the whole triangle into a flat line, as the 2 equal sides together (2×6 = 12) would be exactly as long as the baseline (12) of the triangle.

which is again a theoretically possible construct (counting as extreme triangle).

but it is more likely that your teacher wants the definition applied that for each combination of 2 sides this combination has to be larger (and not larger or equal) than the third side.

so, the 2 equal sides have to be larger than 6 cm.

the smallest number in your answer options to fit that criteria is 6.1 cm

just FYI - your teacher was not very precise in the phrasing, because there are many numbers smaller than 6.1 that would still be correct.

like 6.01, or 6.005, ...

Answer:

8.5 cm or D

Step-by-step explanation:

Edge 2021