Explore forming triangles with different combinations of side lengths.

✓ 1. Try to form a triangle by dragging

points A and D. Is it possible to form a

triangle with side lengths 1, 5, and 3

units? no

2. Is it possible to form a triangle with

side lengths 3, 4, and 5 units?

AB = 3 units

BC = 4 units

CD = 5 units

UUT

(A) No

(B) Yes

Step-by-step explanation:

(A) Using centimeters for example, it is not possible to create a closed or full triangle with side lengths 1cm, 5cm and 3cm. [See attachment for illustration]

(B) It is possible to create a triangle of side lengths 3cm, 4cm and 5cm. [See attachment also]

The Pythagoras Rule also applies in this case.

The sum of the squares of the lengths of the 2 shorter sides (the opposite side and the adjacent side) is equal to the square of the longest side (the hypotenuse).

(3×3) + (4×4) = (5×5)

9 + 16 = 25

1) No

2) Yes

3) No

4) Yes

5) Yes

Step-by-step explanation:

edge 2020:)

All correct

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step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!