Essential Question: How can you use inequalities to describe the relationships among side lengths and angle measures in a triangle?
Learning Target: Students will be able to describe the relationships among triangle sides using side lengths and measures and use that information to solve real-world problems.
Complete the entire document and use full sentences when prompted for full credit.
Responses without work will receive no points.
Required
12 points
12
Question 1
1.
Determine if each group of three side is a triangle.
Triangle
Not a Triangle
16 m, 21 m, 39 m
18 in, 6 in, 13 in
34 km, 27 km, 58 km
29 ft, 38 ft, 9 ft
12 cm, 12 cm, 25 cm
31 yd, 14 yd, 19 yd
Required
12 points
12
Question 2
2.
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
14 and 22
a) Set up difference and sum that shows the possible range of side lengths for the third side
_______ - _______ <third side (x) <_______ +_______
b) Write the inequality the shows the range of lengths that could be a third side this triangle:
_______ < x <_______
Required
12 points
12
Question 3
3.
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
31 and 28
a) Set up difference and sum that shows the possible range of side lengths for the third side
_______ - _______ <third side (x)<_______ +_______
b) Write the inequality the shows the range of lengths that could be a third side this triangle:
_______ < x <_______
Required
10 points
10
Question 4
4.
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
24 and 7
Write the inequality the shows the range of lengths that could be a third side this triangle:
_______ < x < _______
Required
10 points
10
Question 5
5.
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
8 and 17
Write the inequality the shows the range of lengths that could be a third side this triangle ( use <x< )
_______
Required
10 points
10
Question 6
6.
How many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?
Required
10 points
10
Question 7
7.
How many integer values of x are there so that x, 12, and 6 could be the lengths of the sides of a triangle?
Required
20 points
20
Question 8
8.
A plot of land is in the shape of rhombus ABCD. If you had to build a fence from point A to C, What is the largest fences you might need to build? Round your answer to the nearest meter._______
If the fencing you have to use costs 45 dollars for each meter. What is the most money you might need to spend to build the fence? Round your answer to the nearest dollar. _______
Review
Required
10 points
10
Question 9
9.
Find the value of x.
Required
10 points
10
Question 10
10.
Find the value of x.
_______
Required
40 points
40
Question 11
11.
Find the value:
x=_______ °
m∠P=_______ °
m∠Q=_______ °
m∠R=_______ °
Day 2 4/25/24
Required
9 points
9
Question 12
12.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 13
13.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 14
14.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 15
15.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 16
16.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 17
17.
List the sides in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 18
18.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 19
19.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 20
20.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 21
21.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 22
22.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 23
23.
List the angles in order from smallest to largest.
_______
_______
_______
Required
9 points
9
Question 24
24.
List the angles in order from smallest to largest.