Answer:1
Step-by-step explanation:
-2-(-3)
-2+3=1
Answer: See below
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.
Triangle EFG
9²+b²=41²
81+b²=1681
b²=1600
b=√1600
b=40
----------------------------------------------------------------------
Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
----------------------------------------------------------------------
Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
A midsegment is given by the formula:

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:

We can do the following:



This simplifies to

:)
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(11,4)(10,5)
d = sqrt (10 - 11)^2 + (5 - 4)^2
d = sqrt (-1^2) + (1^2)
d = sqrt (1 + 1)
d = sqrt 2
d = 1.41 <===
Answer:
Step-by-step explanation:
Draw a horizontal line at the end of the 8 meter horizontal line.
Find the area of the horizontal rectangle
L = 8 + 3
W = 2
Area = L*w
Area = 11*2
area = 22 m^2
Now do the vertical rectangle
L = 8
w = 3
Area = L*w
Area = 8 * 3
Area = 24 m^2
Total Area = 24 + 22 = 46 m^2