Answer:
38 units
Step-by-step explanation:
Triangle ABC is a right triangle. To find the missing side, AB (which is the hypotenuse), we use the Pythagorean theorem:
a²+b² = c²
10²+24² = c²
100+576 = c²
676 = c²
Take the square root of both sides:
√(676) = √(c²)
26 = c
AB is a diameter; this means the radius is 26/2 = 13. This means that OB = 13 and OE = 13.
BD and DE are congruent; this means that BD = 6.
This makes the perimeter
13+13+6+6 = 38 units.
