(Problem on image.)...
1 answer:
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~
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The scale factor of dilation from ABC to is 0.333.
Step-by-step explanation:
Step 1:
First, we plot the coordinates of both triangles.
The coordinates of the triangle are as follows;
= (2, 3),
= (2, 1), and
= (3, 1).
The coordinates of triangle ABC are;
A = (4, 9), B = (4, 3), and C = (7, 3).
Step 2;
Next, we need to find the distances between at least two coordinates for both triangles.
The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.
The distance of , the distance of
.
The distance of AB the distance of BC
Step 3;
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the length of the AB.
So The scale factor for AB =
The scale factor for BC =