1. To find this we are going to use the converse of the Pythagorean theorem: if the square of the longest side of a triangle is equal to the sum of the squares of its smaller side, the triangle is a right one.
We know from our picture that the longer side of the triangle is 36 and its shorter sides are 24 and 15.



The converse also says that if the square of the longest side is greater than the sum of the squares of the shorter sides, the triangle is
obtuse, and if the square of the longest side less than the sum of the squares of the shorter sides, the triangle is
acute.
We can conclude that our triangle is an obtuse one; the correct answer is the third one:
obtuse2. Here we have a right triangle with longer side 80 feet and one of the shorter sides 65 feet. Lest

be the distance from the base to the guy wire attached point.
Using the Pythagorean theorem:




We can conclude that the correct answer is fourth choice:
46.64
3. Here we are going to use the Pythagorean theorem. We know that the longest side of our triangle is 40 and its shorter sides are 9 and

. Using the Pythagorean theorem:




We can conclude that the correct answer is the fourth option:
38.97
Yes, 40,25,85 is a Pythagorean triple
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
To learn more about a straight line:
brainly.com/question/17188072
#SPJ9
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is

We have the final answer as

Hope this helps you