The perimeter of a right triangle is 60 feet and the area is 150 square feet. if the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?

Step-by-step explanation:

We know that the perimeter of the triangle is 60 feet, that is, the sum of all three sides is 60 feet.

Now, if each triangle is multiply by 10, that means the perimeter would be increased ten time also.

Therefore, the perimeter would be 600 feet.

If you wanna use formulas, we have

Where represents the ares and represents the perimeter.

The area of a triangle is

Where and represent the legs of the right triangle.

Where represents the hypothenuse of the right triangle.

After increasing sides by a scale factor of 10, the perimeter would be

Which shows the increasing scaling factor, then we extract this common scale factor.

Which means that the perimeter increased is just the old perimeter multiplied by 10, as follows

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)