Question

Please help me with math? Thanks ;D

Answer 1

Q1. Yes

Q2. b = 12/5

Explanation:

`\text{We have}\ a=7,\ b=24,\ c=25.\\\\\text{Substitute to}\ a^2+b^2=c^2:\\\\L_s=7^2+24^2=49+576=625\\\\R_s=25^2=625\\\\L_s=R_s\\\\\boxed{YES}`

`\text{Use the Pythagorean theorem.}\\\\a^2+b^2=c^2\\\\a=1,\ c=(13)/(5)\\\\\text{Substitute:}\\\\1^2+b^2=\left((13)/(5)\right)^2\\\\1+b^2=(169)/(25)\qquad\text{subtract 1 from both sides}\\\\b^2=(169)/(25)-1\\\\b^2=(169)/(25)-(25)/(25)\\\\b^2=(144)/(25)\to b=\sqrt{(144)/(25)}\\\\b=(√(144))/(√(25))\\\\b=(12)/(5)`