Question

Someone please help with this!!!!

Answer 1

Answer:

18. h = 14.4

19. h = 4.23

20. h = 15.28

21. h = 11.46

All answers are rounded to two decimal places.

Step-by-step explanation:

18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.

x = (a * b)/c

x = (18 * 24)/30

x = 432/30

x = 72/5

x = 14.4

19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)

24/sin(80)

24/0.98480775

24/1 * 4000000/3939231

8/1 * 4000000/1313077

32000000/1313077

24.3702388

Now to find the first leg, which will be the height of the entire triangle.

x = √c² - b²

x = √24.3702388² - 24²

x = √593.908539 - 576

x = √17.908539

x = 4.23184818

x = 4.23

20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.

20/sin(60)

20/0.8660254

20/1 * 5000000/4330127

100000000/4330127

23.0940109

√23.0940109² - 20²

√533.333339 - 400

√133.333339

11.5470056

î The answer above is leg 2 of the smaller triangle.

x = √10² + 133.333339

x = √100 + 133.333339

x = √233.33339

x = 15.2752525

x = 15.28

21. There is no need to figure out what the height is. The entire triangle is 45-45-90.

x = (√18² + 18²) - 15

x = (√324 + 324) - 15

x = (√648) - 15

x = 25.46 - 15

x = 11.46