No, it is not possible to construct a triangle that has side lengths 4 m, 5 m, and 9 m
Step-by-step explanation:
The Longest side in a Triangle is going to be the hypotenuse. For these values to construct a triangle, they would need to give us a value of 9m when plugged into the Pythagorean Theorem Formula, which is the following,
[tex]a^{2} + b^{2} = c^{2}[/tex]
in which c would be the hypotenuse. If we plug in 4m and 9m (as the hypotenuse) we can see what value side b would need to be for this triangle to be constructed.
[tex]4^{2} + b^{2} = 9^{2}[/tex]
[tex]16 + b^{2} = 81[/tex]
[tex]b^{2} = 65[/tex][tex]b = 8.062[/tex]
Seeing as how b is equal to 8.062m and not 5m we can safely say that you can NOT construct a triangle with the given side lengths.
I hope this answered your question. If you have any more questions feel free to ask away at
We can not construct a triangle that has sides length 2 inches, 3 inches and 6 inches. It is because of the triangle inequality rule.
The triangle inequality rule states that all pairs of the values should be greater than the other side.
So for example 2 + 6 is greater than 3, similarly 3 + 6 is greater than 2, but 2 + 3 is not greater 6 so we can not construct a triangle with these sides as it does not obeys the triangle inequality rule.
No it is not more than 19cm
Explanation:
NO
Step-by-step explanation:
Draw a triangle and label the sides a, b and c. Now we must know the rule you can use for drawing any triangle:
A+B> c
A+C>B
B+C>A
Sub you numbers into the rule:
8+10, is it greater that 19?
No, 8+10=18 and 18<19
This is proof that you can not draw a triangle with the side lengths of 8m, 10m and 19m.
1- find triangle construct or not by the help of
Triangle Inequality Theorem
according to theorem sum of two side is always greater than third side
let a,b, c are side of triangle
a+b>c
b+c>a
a+c>b
question no 1 -
8+10 >19
but it's not greater than 19
so answer is no
question no 7,8,9 solve by this method
question no 2-
4+7 > third side
third side less than 11
if we take 3 as third side
3+4 greater than 7 but here it's equal
so third side is greater than 3
then range 3< x <11
question 3rd solve by this method
for question 5,
large angle opposite side large
question 5 -
df>de>ef
question 6-
large length opposite side large
b>a>c
Yes
Step-by-step explanation:
The sum of the shorter sides is greater than the longest side.
1 + 15 > 15
Therefore, these side lengths can form a triangle. Specifically, an acute isosceles triangle.
no
Step-by-step explanation:
No, it is not possible to construct a triangle that has side lengths 4 m, 5 m, and 9 m
Step-by-step explanation:
The Longest side in a Triangle is going to be the hypotenuse. For these values to construct a triangle, they would need to give us a value of 9m when plugged into the Pythagorean Theorem Formula, which is the following,
[tex]a^{2} + b^{2} = c^{2}[/tex]
in which c would be the hypotenuse. If we plug in 4m and 9m (as the hypotenuse) we can see what value side b would need to be for this triangle to be constructed.
[tex]4^{2} + b^{2} = 9^{2}[/tex]
[tex]16 + b^{2} = 81[/tex]
[tex]b^{2} = 65[/tex][tex]b = 8.062[/tex]
Seeing as how b is equal to 8.062m and not 5m we can safely say that you can NOT construct a triangle with the given side lengths.
I hope this answered your question. If you have any more questions feel free to ask away at
Step-by-step explanation:
1- find triangle construct or not by the help of
Triangle Inequality Theorem
according to theorem sum of two side is always greater than third side
let a,b, c are side of triangle
a+b>c
b+c>a
a+c>b
question no 1 -
8+10 >19
but it's not greater than 19
so answer is no
question no 7,8,9 solve by this method
question no 2-
4+7 > third side
third side less than 11
if we take 3 as third side
3+4 greater than 7 but here it's equal
so third side is greater than 3
then range 3< x <11
question 3rd solve by this method
for question 5,
large angle opposite side large
question 5 -
df>de>ef
question 6-
large length opposite side large
b>a>c
11 < x < 21
Yes
We can not construct a triangle that has sides length 2 inches, 3 inches and 6 inches. It is because of the triangle inequality rule.
The triangle inequality rule states that all pairs of the values should be greater than the other side.
So for example 2 + 6 is greater than 3, similarly 3 + 6 is greater than 2, but 2 + 3 is not greater 6 so we can not construct a triangle with these sides as it does not obeys the triangle inequality rule.
I hope that this answer helps.
No
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
No, because two side added up have to be greater than the other one. 5+5 is not greater than 10, it is equal.
Hence, it doesn't work.
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