The longest side of an acute isosceles triangle is 8 cm round to the nearest 10th what is the smallest possible length of one of the two congruent sides

The sum of the 2 congruent sides cannot be 4 or less because you cannot draw such a triangle

- but as they are rounded to the nearest 10th its actual length might be 3.95 so the smallest possible length of one of the 2 congruent sides would be 4 cm.

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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answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.