Atriangle is enlarged by a factor of 3. the perimeter of the new triangle is 36 feet. what could be the lengths of the sides of the original triangle? 3 feet, 4 feet, and 5 feet 1.5 feet, 1.25 foot, and 1.25 foot 2 feet, 0.5 feet, and 1.8 feet 4 feet, 4 feet, and 3 feet

3 feet, 4 feet, and 5 feet

Step-by-step explanation:

Since, when a triangle is enlarged by a scale factor then its perimeter also increases by the same factor.

Given,

The triangle is enlarged by a factor of 3,

The perimeter of the new triangle = 36 ft,

If x be the perimeter of the original triangle,

Thus, by the above statement,

So, the perimeter ( sum of all sides ) of the original triangle is 12 ft,

Since, 3 + 4 + 5 = 12

1.5 + 1.25 + 1.25 ≠ 12

2 + 0.5 + 1.8 ≠ 12,

4 + 4 + 3 ≠ 12,

Therefore, the possible lengths of the sides of the original triangle are,

3 feet, 4 feet, and 5 feet

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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