Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~
- 4 cm , 7 cm and 9 cm
I hope it helps ~
Complete the square. Fill in the number that makes the polynomial a perfect-square
1 answer:
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Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by
Substitute the given coordinates into above equation
Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement they are asking for us to determine the value of the unknown variable h. We are given one angle along with two sides.
Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown. We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).
<u>Trigonometric functions</u>
<u>Plug in the values</u>
We know have an expression which contains everything that we need to determine the value of the unknown. To help isolate h we need to multiply both sides by 15.6 cm which will isolate h. After that we need to simplify the expression so we can get the value of h.
<u>Multiply both sides by 15.6 cm</u>
<u>Simplify the expression</u>
After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm. We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.