Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm. A triangular pyramid. The base has a base of 24 centimeters and height of 16 centimeters. A side has a base of 24 centimeters and height of 21 centimeters. 2 sides have a base of 20 centimeters and height of 22 centimeters. [Not drawn to scale] Which statement about the area of the pyramid is true? The base area is 384 centimeters squared. The lateral area is 692 centimeters squared. The surface area is 740 centimeters squared The area of each congruent face is 264 centimeters squared.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

b

step-by-step explanation: