Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
Well idk about geometric theorem or how ever. but, because they have the same line aka the same Slope. The other line is parallel to it. Assuming by the statement, -1/3x has another -1/3x of the same Slope.
Area of wooden support is 36 square inches
<em><u>Solution:</u></em>
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
<em><u>The area of trapezoid is given as:</u></em>

Where, "h" is the height
"a" and 'b" are the length of base
Here given that,
Height = h = 4 inches
a = 6 inches
b = 12 inches
Substituting the values we get,

Thus area of wooden support is 36 square inches
To find a perimeter, add all sides together:
9) 12 + 12 + 8 + 8 = 20 + 20 = 40 in
10) 3 + 3 + 3 + 3 = 6 + 6 = 12 cm
To find area, multiply length and width, or base and height:
11) 3 x 6 = 18
12) 10 x 30 = 300 ft
13) 12 x 12 = 144 cm
14) 7 x 4 = 28 m
15)
Perimeter: 2(2) + 2(16) = 4 + 32 = 36
Area: 1 x 16 = 16
hope this helps
8 and 4 are the main numbers