![\huge\bold{Given:}](https://tex.z-dn.net/?f=%5Chuge%5Cbold%7BGiven%3A%7D)
Length of the base = 8
Length of the hypotenuse = 17
![\huge\bold{To\:find:}](https://tex.z-dn.net/?f=%5Chuge%5Cbold%7BTo%5C%3Afind%3A%7D)
The length of the third side ''
".
![\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Corange%7BSolution%7D%7D%7B%5Corange%7B%3A%7D%7D%7D%7D%7D)
![\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cred%7BStep-by-step%5C%3Aexplanation%7D%7D%7B%5Cred%7B%3A%7D%7D%7D%7D%7D)
Using Pythagoras theorem, we have
(Perpendicular)² + (Base)² = (Hypotenuse)²
+ (8)² = (17)²
+ 64 = 289
= 289 - 64
= 225
= ![\sqrt{225}](https://tex.z-dn.net/?f=%5Csqrt%7B225%7D)
= ![15](https://tex.z-dn.net/?f=15)
Therefore, the length of the missing side
is
.
![\huge\bold{To\:verify :}](https://tex.z-dn.net/?f=%5Chuge%5Cbold%7BTo%5C%3Averify%20%3A%7D)
(15)² + (8)² = (17)²
225 + 64 = 289
289 = 289
L.H.S. = R. H. S.
Hence verified.
![\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Ctextbf%7B%5Ctextsf%7B%7B%5Corange%7BMy%7D%7D%7B%5Cblue%7Bst%7D%7D%7B%5Cpink%7Biq%7D%7D%7B%5Cpurple%7Bue%7D%7D%7B%5Cred%7B35%7D%7D%7B%5Cgreen%7B%E2%99%A8%7D%7D%7D%7D%7D)
(I'm going to use brackets as my absolute value bars lol)
[5 x -3]
[-15]
=15
Answer:
Graph A
Step-by-step explanation:
-y=-2-3x
y=3x+2
Slope:3
y-intercept:2
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared