Triangle abc is a right triangle if side ac=5 and side ab=10 what is the measure of side bc

Measure of bc is 5√3

Step-by-step explanation:

Given right angled triangle ABC

ac = 5

ab = 10

We know that according to Pythagoras Theorem

Perpendicular² + Base² = Hypotenuse²

then ac² + bc² = ab²

i.e. 5²+ bc² = 10²

25 + bc² =100

subtracting both sides by 25

25 + bc² -25 = 100 -25

bc² = 75

bc =5√3

Thus the measure of side bc is 5√3

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.

3 is greater then both of those numbers