Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Answer:
Step-by-step explanation:
Use the <u>Slope Formula</u> to determine the slope of two given points:
First Point: 
Second Point: 
-Substitute both points:
First Point: 
Second Point: 
-Solve for the slope:
Therefore, the slope is 
Answer:
1=18 ×3= <u><em>3years=54inches in growth</em></u>
Answer:
Count up the side so for 10 count the Arrow going up for the 5 count to the side but like for example.
Go up 10 and move left 5 times?
Does this help
Step-by-step explanation:
Answer:
The missing side length is 6.
Step-by-step explanation:
Because the two triangles are similar,
the following equation of ratios is true:
m 4
----- = -----
15 10
Cross-multiplying, we get:
10m = 60, or m = 60/10 = 6
The missing side length is 6.
