Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse.
-a = $\sqrt { 3 }$ ,, c = 5
A)4
B) $2 \sqrt { 7 }$
C) $\sqrt { 22 }$
D)22

Question

Quizplus · Accepted Answer

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, $b^2 = c^2 - a^2$. Substituting the given values, $b^2 = 5^2 - (\sqrt{3})^2 = 25 - 3 = 22$. Thus, $b = \sqrt{22}$.

Find the Length of the Unknown Side of the Right 3\sqrt { 3 }3​

Find the Length of the Unknown Side of the Right $\sqrt { 3 }$