Sam's vegetable garden is triangle. His plan shows that the plot is a right-angled triangle. Sam measures the sides of his vegetable garden as 17 m, 144 m and 145 m. Show that the plot is indeed a right-angled triangle.

The answer to your question is given below

Step-by-step explanation:

Let 'a' and 'b' be the length of the first two sides of the triangle and let 'c' be the longest length of the triangle.

The following data were obtained from the question:

Length of a = 17 m

Length of b = 144 m

Length of c = 145

For the triangle to be a right-angled triangle, then it must certify the pythagoras theory which states that the square of the two sides in a right-angled triangle is equal to the square of the longest side.

Thus, we can prove that the triangle is a right-angled triangle as illustrated below:

a² + b² = c²

Length of a = 17 m

Length of b = 144 m

Length of c = 145

17² + 144² = 145²

289 + 20736 = 21025

21025 = 21025

From the above illustration, we can see clearly that the square of two sides of the triangle is equal to the square of the longest side. Therefore, the triangle is a right-angled triangle.

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.