Question

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

Answer 1

(A) No

(B) Yes

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

Answer 2

1) No

2) Yes

3) No

4) Yes

5) Yes

Explanation:

edge 2020:)

All correct