Question

Help Please! Can someone figure this out for me??

Answer 1

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)