Question

If b=8 and a=6,find d

Answer 1

Step-by-step explanation:

If $a, b, c$ are the sides of a right triangle, and $c$ is the hypotenuse (the longest side), then the Pythagorean theorem states that:

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

So here, $a = 8, b = 6.$

∴ ${c}^{2} = {8}^{2} + {6}^{2}$

$= 64 + 36$

$= 100$

$c = √100$

$= ± 10$

Since this is a length, we cannot take the negative side, as that'll make no sense! So, we only take the positive root, and the final answer is:

$c = 10$