Question

step 1: $a^{2}+b^{2}=c^{2}$
step 2: $a^{2}+15^{2}=17^{2}$
step 3: $a^{2}+225 = 289$
step 4: $a^{2}=64$
step 5: $a=sqrt{64}$
step 6: $a = 8$
type the steps used to solve for c in the triangle above. use the steps on the left as a model.

step number	work

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$

Step2: Substitute values

$a^{2}+40^{2}=c^{2}$

Step3: Calculate squares

$a^{2}+1600 = c^{2}$

Step4: Rearrange if needed (not applicable here for just showing steps as per model)

No operation

Step5: If solving for $a$ in terms of $c$ (not the case here but for general steps)

$a=\sqrt{c^{2}-1600}$

Step6: If given more information to solve for a specific value (not given here)

No operation

Answer:

The steps are:

1. $a^{2}+b^{2}=c^{2}$
2. $a^{2}+40^{2}=c^{2}$
3. $a^{2}+1600 = c^{2}$
4. No operation
5. $a=\sqrt{c^{2}-1600}$ (if applicable)
6. No operation (if applicable)