Question

solve for a # 3
set up an equation that can be used to solve for the missing side length.
use a as your unknown.
then, solve the equation and if necessary, round your answer to the nearest tenth.
10
14
equation - here
submit
a =
submit

Explanation:

Step1: Apply Pythagorean theorem

Assuming it's a right - triangle, if 14 is the hypotenuse and 10 is one of the legs, the formula is $a^{2}+10^{2}=14^{2}$.

Step2: Simplify the equation

$a^{2}+100 = 196$. Then $a^{2}=196 - 100=96$.

Step3: Solve for a

$a=\sqrt{96}\approx9.8$.

Answer:

Equation: $a^{2}+10^{2}=14^{2}$
$a\approx9.8$