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: $a=sqrt{64}$
type the steps used to solve for $a$ in the triangle above. use the steps on the left as a model.

step number	work
2	$a^{2}+40^{2}=41^{2}$
3	$a^{2}+1600 = 1681$
4
5	$a=sqrt{81}$

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

$a^{2}+40^{2}=41^{2}$

Step3: Calculate squares

$a^{2}+1600 = 1681$

Step4: Isolate $a^{2}$

$a^{2}=1681 - 1600=81$

Step5: Solve for $a$

$a=\sqrt{81}$

Answer:

$a = 9$