c squared = a squared + b squared with c=32 with the other sides length 4:3 what is length of the two sides

Question

kc_kennylau · Answer

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jack1 · Answer

simultaneous equations
so $$\large c^2 = a^2 + b^2 $$
and $$\large a =  \frac 43 b $$

jack1 · Answer

$$\large 32^2 = a^2 + b^2 $$
sub eqn 2 into eqn 1
$$\large 32^2 = (\frac43 b)^2 + b^2 $$
can u solve from here? @firetiger ?

kc_kennylau · Answer

I would let $a$ as $3x$ and $b$ as $4x$ since it's much easier to comprehend :)

jack1 · Answer

agreed @kc_kennylau 
@firetiger use ken's diagram, it's probably easier

anonymous · Answer

ok square root(32)=(4x)squared +(3x) squared is the correct equation?

shamil98 · Answer

$$\large 32^2 = 3x + 4x$$

kc_kennylau · Answer

$$32^2=(4x)^2+(3x)^2$$

shamil98 · Answer

oh yeah forgot bout the squared part

kc_kennylau · Answer

Sorry I got to go see you guys later
(others will help him)

anonymous · Answer

Ok the background  a tv measures 32" across the screen the width is 4x with the height is 3x. x=?

shamil98 · Answer

1024 = 16x^2 + 9x^2
solve for x.

jack1 · Answer

did u get an answer for x @firetiger ?