By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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Find the perpendicular line then find the intersection then find the point
perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1
y=mx+b
m=slope
y=2x-3
2 is slope
2 times what=-1
what=-1/2
the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7
find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D=
D=
D=
D=

D=2√5
distance= 2√5
Answer:
a) Perimeter = 20.5 Inches
Area is 15 Sq Inches
b) Perimeter is 61.4 Cms
Area is 210 Sq cm
c) Perimeter is 22 yards
Area is 21 Sq Yards
Step-by-step explanation:
a) Perimeter = sum of all the sides
= 8+7.5+5
=20.5
Perimeter = 20.5 Inches
Area of Triangle =
Base = 7.5 In
Height = 4 In



Hence Area is 15 Sq Inches
b) Perimeter = Sum of all the sides
P=13+23+13.4+12
P=61.4
Perimeter is 61.4 Cms
Area of trapezium = 



Area is 210 Sq cm
c) Perimeter = Sum of all the sides
P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram
P = 22
Perimeter is 22 yards
Area of a parallelogram = 


Area is 21 Sq Yards
32 it’s as simple as 4(5) + 12
Answer:
1500
Step-by-step explanation:
48-50
32-30
50 times 30 = 1500