Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is 
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is miles.
5 1/2 - 3/8
Make 5 1/2 into a improper fraction
5 1/2=11/2. Mutiply the whole number with the denominator. 5*2= 10. Add 10 with the numerator. 10+1= 11
11/2-3/8.
Find the common denominator for 11/2 which is 8. Mutiply by 4
11(4)/2(4)= 44/8
44/8-3/8= 41/8= 5 1/8
Answer: 41/8 or 5 1/8
Answer:
(4.4, 4.4)
Step-by-step explanation:
The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:
RS : ST = 1 : 4
S = (4R +1T)/5
S = (4(2, 2) +(14, 14))/5 = (22, 22)/5
S = (4.4, 4.4)
Answer: The Pythagorean theorem was first known in ancient Babylon and Egypt (beginning about 1900 B.C.). The relationship was shown on a 4000 year old Babylonian tablet now known as Plimpton 322. However, the relationship was not widely publicized until Pythagoras stated it explicitly.
Answer:
Oooooo
Step-by-step explanation:
