Question

Solve using the pathagorean theorem​

Answer 1

Pythagorean Theorem: $\sqrt{a^{2} * b^{2}} = c^{2}$

In this problem, only sides b and c are given. In this situation, since we want to find a, it's:

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

$a^{2} = \sqrt{10^{2} - 9^{2}}$

$9^{2} = 81\\10^{2} = 100$

After given squared numbers are solved, now we solve for a:

$a^{2} = \sqrt{100 - 81}$

$a^{2} = \sqrt{19}$

a = 4.358 . . . :)

Answer 2

Answer:

√19 or 4.36 to the nearest hundredth

Step-by-step explanation:

10^2 = 9^2 + x^2

x^2 = 10^2 - 9^2

x^2 = (10-9)(10+9) = 19

x = √19.