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Week 8, I believe (a) is 6, but not sure

The lengths of one leg and the hypotenuse of a right triangle are given. Find the length of the other leg.
(a) leg: 8, hypotenuse: 10

_______units

(b) leg: 24, hypotenuse: 25

________units

(c) leg: 8, hypotenuse: 17

_________units

(d) leg: 15, hypotenuse: 25

__________units

week 8

rrahh Sep 2, 2018

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tertre · Answer 1 · 2018-09-02T10:36:27

(a) You're correct it is 6, because of $a^2+b^2=c^2, a^2+8^2=10^2, a^2=10^2-8^2, a^2=6^2, a=6.$

(b) $a^2+b^2=c^2, a^2+24^2=25^2, a^2=25^2-24^2, a^2=25+24, a^2=49, a=7.$

(c) $a^2+b^2=c^2, a^2+8^2=17^2, a^2=17^2-8^2, a^2=225, a=15.$

(d) $a^2+b^=c^2, a^2+15^2=25^2, a^2=25^2-15^2, a^2=400, a=20.$

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