Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 
, creating right triangles 
and 
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where 
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to 
The perimeter represents the amount of wood needed and the area represents the amount of class needed.
so 2*(2/3) + 2(2) = 4/3 + 4= 4 4/3 or 5 1/3 wood is needed for the border.
for the mirror, you will need the area= 4/3 * 2 = 8/3 sq yds or 2 2/3 sq yards is needed.
Answer: 7
Explanation: both triangles are congruent, so the mid segment is half of 14
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
Answer:
True, every input has one output
Step-by-step explanation:
