Cade and Tyce both tried to find the missing side of the right triangle.

A right triangle is shown. The legs are labeled 6 and 9. A right angle is labeled in between them.
Cade's Work Tyce's Work
a2 + b2 = c2 a2 + b2 = c2
62 + b2 = 92 62 + 92 = c2
36 + b2 = 81 36 + 81 = c2
b2 = 45 117 = c2
Square root b squared equals square root 45. Square root 117 equals c squared.
b ≈ 6.71 10.82 ≈ c
Is either of them correct? Explain your reasoning

a2 + b2 = c2 a2 + b2 = c2 is correct

Step-by-step explanation:

reason being:

if a2 and b2 are in the equation that would make c2 a2 rational and when the number is rational thats automatically easy to know the area and square root and thats the key! the questions states the spuare root and area which makes it all easy to know that the correct one is  a2 + b2 = c2 a2 + b2 = c2.

(Hopes this helps)

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.