Question

order the steps to solve for c
problem: solve for x.
put the steps in the correct order.
checker: x
√25 = x
25 = x²
5 = x
3² + 4² = x²
9 + 16 = x²
a² + b² = c²

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute side - lengths

$3^{2}+4^{2}=x^{2}$

Step3: Calculate squares

$9 + 16=x^{2}$

Step4: Simplify left - hand side

$25=x^{2}$

Step5: Take square root

$\sqrt{25}=x$

Step6: Solve for x

$5=x$

Answer:

1. $a^{2}+b^{2}=c^{2}$
2. $3^{2}+4^{2}=x^{2}$
3. $9 + 16=x^{2}$
4. $25=x^{2}$
5. $\sqrt{25}=x$
6. $5=x$