Which dimensions can create only one unique triangle?
2 answers:
Answer: B.Three sides measuring 14 m,11 m,and 18 m
Step-by-step explanation:
Let's check all the option.
A. Three angles measuring 75,45,and 50
We know that the sum of all angles of a triangle is 180°.
But Therefore triangle is not possible with this dimensions of angles.
B. Three sides measuring 14 m,11 m,and 18 m
- For a unique triangle, the triangle inequality says that the sum of any two sides of a triangle must be greater than the third side.
Here ,
⇒<u> It satisfies the triangle inequality</u>.
∴ There is one unique triangle of dimensions 14 m,11 m,and 18 m
.
C.Three angles measuring 40,50 and 60.
.
But Therefore triangle is not possible with this dimensions of angles.
D.Three sides measuring 3 cm,4 cm,and 8 cm
Here ,
Hence, it does not satisfies the triangle inequality.
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Answer:
The new length of the garden is 80 ft, the new width is 40 ft, and the total area of the new garden is 3200 ft². The area of the new garden will be 8 times larger than the current one. Jane should make her garden 4 times the current length.
Step-by-step explanation:
Juan's garden is 40 ft in length, he wishes to make the length 2 times longer:
Juan's garden is 10 ft in width, he wishes to make the width 4 times longer:
With a length of 80 and width of 40, the total area of the garden is
Since Juan wanted to make the length 2 times longer and the width 4 times longer, the total area of the garden will be
larger than the current garden.
Jane wants to make her garden 20 times the size. Since she's making her garden 5 times longer in width, she needs to make the length of her garden
4 times longer.