Answer:
yes it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm.
Step-by-step explanation:
Condition on sides of triangle:
- The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- It is not possible to have sum to be less than the length of the third side.
- A triangle with three given positive side lengths exists if and only if those side lengths satisfy the given condition
- Let a, b and c be three sides of triangle.

Here, we are given that a = 8.8 cm, b = 8.0 cm, c = 8.8 cm
We check for the triangular inequality:

Thus, yes it is possible to have a triangle with given measurements.
Answer: 1 1/20
Step-by-step explanation:
1/2 / 5/8 + 1/4
=8/10 +1/4
=21/20
=1 1/20
Answer:
∠CDE = 14°
Step-by-step explanation:
Since CE is extended to point F then ∠FED is an external angle of the triangle
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠FED = ∠ECD + ∠CDE ← substitute values
4x + 5 = x + 8 + x + 9, that is
4x + 5 = 2x + 17 ( subtract 2x from both sides )
2x + 5 = 17 ( subtract 5 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Hence
∠CDE = x + 8 = 6 + 8 = 14°
Answer:
81°
Step-by-step explanation:
∠ABC= 121°
- 4x+21+3x-5=121
- 7x+16=121
- 7x= 105
- x=105/7
- x=15°
∠ABD= 4*15°+21°= 81°