Suppose ABC is a right triangle with C = 90°. If a = 6 and c = 10, find b .
A)b = 9
B)b = 13
C)b = 8
D)b = 4
E)b = 10

Question

Suppose ABC  is a right triangle with C = 90°. If a = 6 and c = 10, find b . ​
A)b = 9
B)b  = 13
C)b  = 8
D)b  = 4
E)b  = 10

Quizplus · Accepted Answer

In a right triangle, the Pythagorean theorem states that $a^2 + b^2 = c^2$. Given $a = 6$ and $c = 10$, we can solve for $b$: $6^2 + b^2 = 10^2$, which simplifies to $36 + b^2 = 100$. Subtracting 36 from both sides gives $b^2 = 64$, and taking the square root of both sides gives $b = 8$.

Suppose ABC Is a Right Triangle with C = 90°