Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.
Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1
For this you'd need to use the Pythagorean Theorem to find the short leg.
Pythagorean Theorem - a^2 + b^2 = c^2
<h3>
Answer: 2.8 units</h3>
The diagram shows CD = 2.8
Rotating the figure ABCD will not change the length of CD.
C goes to C'
D goes to D'
Meaning that segment CD maps to C'D'
In short, CD = C'D' = 2.8
8+4x-12+3x<=24
-4+7x<=24
7x<=28
X<=4