Question

Solve for a10a7a =✓ [?]Pythagorean Theorem: a b = c2

Answer 1

In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:

$h^2=l^2_1+l^2_2$

In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:

$\begin{gathered} 10^2=a^2+7^2 \\ 100=a^2+49 \\ a^2=100-49 \\ a^2=51 \\ a=\sqrt[]{51} \end{gathered}$

So the value of 'a' is √51.