Which best describes the construction of a triangle if given the segment lengths of 10 cm, 5 cm, and 4 cm?

2 answers:

8 0

It can't be constructed.
The lengths of 4 cm and 5 cm add to 9 cm and that is one too centimeter too short to make an angle with the 3rd side.

kkurt [141]3 years ago

7 0

Answer:

It is not possible to construct a triangle with the given side lengths.

Step-by-step explanation:

We have been given three segment lengths and we are asked to describe about the construction of a triangle with given lengths: 10 cm, 5 cm, and 4 cm.

We will use triangle inequality theorem to answer our given problem.

Triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So let us check our given using triangle inequality theorem as:

$5+10>4$

$15>4$

Now check another side.

$5+4>10$

$9\ngtr 10$

Since the sum of our given two sides is less than third side, therefore, we can not construct a triangle with our given side lengths.

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Y=-x+7

Allisa [31]

Question 1:
y=-x+7
y=2x-2

(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x

y=-x+7
y=-(3)+7
y=4

Question 2:
y-1=2x
y+2x=5

y-1=2x
y-1+1=2x+1
y=2x

(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1

y-1=2(1)
y-1+1=2+1
y=3

Answer: x=1 y=3