In a right triangle, if a and b are the measures of the legs and c is the measure of the hypotenuse, then a2 + b2 = c2.
The right triangle shown has legs 3 and 4 and hypotenuse 5.
A. 4 inches
B. 8 inches
C. inches
D. inches
Correct Answer: D
Step 1: Radius of the circle = 4 inches.
Step 2: Hypotenuse = 2 × 4 = 8 inches.
Step 3: Let s be the side of the triangle. Then s is the base of the right triangle.
Step 4: Pythagorean Theorem states that 'In a right triangle, if a and b are the measures of the legs and c is the measure of the hypotenuse, then a2 + b2 = c2.
Step 5: Using Pythagorean Theorem,we get,