Answer:
ZA = 3 cm
Step-by-step explanation:
Point A is the incenter of the triangle, so segments AX, AY, and AZ are radii of the circle. They are all the same length, given as 3 cm and confirmed by 3-4-5 right triangle AYD.
ZA = 3 cm
You find the lowest common denominator of both fractions, which in this case is 24.
1/6 is equivalent to 4/24 and 1/8 is equivalent to 3/24.
4/24 + 3/24 = 7/24
It is too blurry to read it get a better camera
Well well we find the area of the triangle first:
area = 1/2 * base * height
area = 1/2 * 8 1/4 * 5 3/4
area = 1/2 * 33/4 * 23/4
area = 1/2 * 759/16
area = 759 / 32
area = 23 23/32
now if we multiply the length of the triangles we get volume because the volume of the prism is really just the sum of the areas of all the triangles that make up it's length. So:
volume = 23 23/32 * 12
volume = 276 276/32
276/ 32 = 8 5/8
volume = 284 5/8
