The answer to the question
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
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Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
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Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
102 / 17 = 6
6 is the width of the rectangle
17 x 2 + 6 x 2 = the perimeter
34 + 12 = 46 p=46
Answer:

Step-by-step explanation:
Given,
Angle of sector = 30°
Radius of circle, r = 8 cm
Area of the shaded region, A =?
The diagram is attached below.
Now,
Area of shaded region = Area of sector - Area of triangle
Area of triangle = 
We know that,




And




Area of sector = 
Area of sector = 
= 16.75 cm^2
Area of triangle = 
= 13.85 cm^2
Area of shaded region = 16.75 - 13.85
= 
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Determine the value of x
x represents the height of the triangle.
And the area of a triangle is calculated as:

Where



The expression becomes



Divide through by 2

