Answer:
Step-by-step explanation:
1. Triangle will be split in half to give us a right triangle with side lengths 8, 17, and h. Applying the Pythagorean theorem (a^2 +b^2 = c^2, c is always the hypotenuse), we will get 8^2 +b^2 = 17^2 which becomes 64 + b^2 = 289
289-64=b^2
225=b^2
b=15,b=-15
-15 would not work, you cannot have negative height, therefore the height is 15.
Applying the same instruction from earlier, you get a right triangle
Pythagorean equation is 4^2 + b^2 = 12^2
16+b^2=144
b^2 = 128
b=sqrt 128 = 11.3 (rounded to the nearest tenth)
2. Pythagorean theorem again.
10^2 + 10^2 = c^2
100 + 100 = 200
200 = c^2
c= 14.1 (rounded)
16^2 + 24^2 = c^2
832 = c^2
c= 28.8 (rounded)
