Act geometry ? a certain triangle has sides each with integer lengths. if two of the sides are 4 units long and 7 units long, what is the greatest possible value, in units, for the triangle's perimeter? f) 7 g) 10 h) 12 j) 21 k) 22

Third side should be more than 7-4=3, but less than 7+4=11.

So 3d greatest side will be 10, because it should be integer, but it cannot be 11.

The greatest perimeter = 4+7+10=21.

j.21.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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