Can you construct a triangle that has side lengths

1 cm, 15 cm, and 15 cm?

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Can you construct a triangle that has side lengths

1 cm, 15 cm, and 15 cm?

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.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! 🙂 ♥

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