A triangle has two sides that measure 5 cm and 7 cm. Which of the following CANNOT be the measure of the third side. which one cannot be measured 3 cm 5 cm 7 cm 12 cm

It is known that the sum of the two sides of a triangle is greater than the third side, so,

thirdside<5+7

thirdside<12

And,

thirdside>7−5

thirdside>2

Therefore, 2<thirdside<12.

Hence, the third side of the triangle falls between (2,12).

12cm cannot be the measure of the third side

Step-by-step explanation:

5 cm + 7 cm = 12 cm

so, the third side < 12 cm

7 cm - 5 cm = 2 cm

the third side > 2 cm

the sum of the two sides in a triangle are greater than the third side.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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