Refer to right triangle ABC with . If and cm, find b . Round the answer to the nearest hundredth.
A)2.12 cm
B)2.27 cm
C)2.18 cm
D)2.21 cm
E)2.33 cm

Question

Refer to right triangle ABC with  .  ​ If   and   cm, find b . Round the answer to the nearest hundredth. ​
A)2.12 cm 
B)2.27 cm 
C)2.18 cm 
D)2.21 cm 
E)2.33 cm

Quizplus · Accepted Answer

Using the Pythagorean theorem, we have:
$a^2 + b^2 = c^2$
Substituting the given values, we get:
$6^2 + b^2 = 8^2$
Simplifying, we get:
$b^2 = 8^2 - 6^2 = 64 - 36 = 28$
Taking the square root, we get:
$b = \sqrt{28} \approx 2.21$
Therefore, the answer is D.

Refer to Right Triangle ABC with