Question

For each problem below put the lettered measures in order for greatest to the least

Answer 1

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

$a = 30 + 50$

$a = 80$

The sum of angles at side (c) is:

$c = 50 + 90$

$c = 140$

The sum of angles at side (b) is:

$b = 40 + 90$

$b = 130$

So, we have:

$a = 80$

$b = 130$

$c = 140$

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)

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