Mr. Matthewson increased the amount of weight he lifted each morning from 80 pounds to 90 pounds by what percentage did mr. matt
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Answer:
Both triangles are scalene & Both triangles have an obtuse angle.
Step-by-step explanation:
<u>Key skills needed: Triangle recognition, Comparing Triangles</u>
1) We are given those 2 triangles, and we need to see if they are isosceles, scalene, obtuse, and acute.
2) To get this, let's define each thing:
Acute triangle - Means that all the angles in triangle are acute, which means they are less than 90 degrees in measure.
Obtuse triangle - Means that one angle in the triangle is obtuse, which means it is greater than 90 degrees in measure.
Scalene triangle - All the sides of the triangle are different in size/length
Isosceles triangle - 2 sides of the triangle are the same length
3) Now, we can use this to see what both triangles are:
--> Both triangles are not isosceles, they are both scalene. This is because all the sides of each triangle are different in size/length. This makes it scalene.
--> Both triangles are not acute triangles, they are both obtuse triangles. This is since the largest angle in each triangle is clear an obtuse angle (it looks like it is more than 90 degrees). Refer to the image I post as help.
With the observations above: We can say that both triangles are scalene, and both triangles are obtuse triangles.
<em>Hope you understood and have a nice day!! :D</em>
Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
Therefore, in this case the diagonal would be 5 ft long.