Name two points on a line that has a slope of 5 over 8.
1 answer:
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Answer:
Step-by-step explanation:
If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8
Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4
So we have
PQ is a radius. QS is tangent to the circle. In this scenario (a radius and a tangent passing through the same point of the radius) the two segments are always perpendicular.
This implies that PQS is a right triangle. We know that PQ = 10 because it's a radius.
Also, we have
because PR is a radius and RS is given.
So, we can derive QS using the pythagorean theorem:
Answer
Option D is correct.
Cos C = (2/7)
Explanation
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
A sketch of this right triangle will be
This sketch allows Sin D = (2/7)
To know the right answer, we need to find the last side of the triangle
The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,
a² + b² = (hyp)²
For this question,
a = 2
b = ?
hyp = 7
a² + b² = (hyp)²
2² + b² = 7²
4 + b² = 49
b² = 49 - 4
b² = 45
b = √45
So, we can evaluate each of these
Cos D = (√45)/7
Cos C = (2/7)
Hope this Helps!!!
