A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side. Show and e xplain your reasoning.
2 answers:
Answer:
The possible lengths are all the real numbers greater than 4 inches and less than 20 inches
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c----> the length of the third side of triangle
Applying the triangle inequality theorem
1) 12+8 > c
20 > c
Rewrite
c < 20 in
2) 8+c > 12
c > 12-8
c < 4 in
therefore
4 in < c < 20 in
The possible lengths are all the real numbers greater than 4 inches and less than 20 inches
Answer:
The third side must be smaller than 20 inches and greater than 4 inches
Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then
Use this rule in your case. So, if a=12 and b=8, then
Hence, you get
From these inequalities, you can state that
So, c must be smaller than 20 inches and greater than 4 inches.
You might be interested in
Answer:
1,000
Step-by-step explanation:
47 to 0.047 moves 3 places
47, 4.7, 0.47, 0.047
this means that the power of then used should have 3 0's
making the power of ten 1,000
Answer:2/5, 1/2, 5/8, 2/3
Step-by-step explanation:
im in 10th grade i thin k i know my fractions
Answer:
Step-by-step explanation:
<u>The balls - multiples of 3 are:</u>
<u>The probability of a multiple of 3 is:</u>
3 out of 10 or P = 3/10 = 30% 30% probability is in the range 0%-50% so this event is unlikely
Answer:
SSbetween treatments
Step-by-step explanation:
SSbetween treatments or Sum of square between treatments is used to measure and compare the mean differences between treatments from which the variance will be computed.
Different values of b.
<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />
Maybe the second point is
Substitute:
<h3>Then we have the answer:</h3>