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KATRIN_1 [288]
3 years ago
9

Can some one help with 18 and 19

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
<span>By by pythagorean theorem
12 (squared) + r (</span>squared) = (8+r) squared<span>
so 144 + r ( </span>squared) = 64 + r (squared)<span> +16r
so solving for r:
144 -64 = r </span>squared –r squared<span> + 16r
80 = 16r
so r = 80/16= 5

the second is the same
21 </span>squared + r squared = (9 + r ) squared<span>
441 + r </span>squared = 81 + r squared<span> + 18r
441 – 81 = r </span>squared – r <span>squared</span><span> + 18r
r = 360/18 = 20</span>
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