Question

Given: Isosceles triangle DEGis 4 times smaller than isosceles triangle ABC find the length perimeter of triangle ABC and triangle DEG(Remember that in isosceles triangles, the equal sides are the sides opposite the equal angles).

Answer 1

A. The perimeter of Triangle ABC is 22.5 and the perimeter of Triangle DEF is 147.
B. The perimeter of Triangle ABC is 32 and the perimeter of Triangle DEF is 128.
C. The perimeter of Triangle ABC is 128 and the perimeter of Triangle DEF is 32.
D. The perimeter of Triangle ABC is 147 and the perimeter of Triangle DEF is 22.5.

Answer 2

So i can give you the lengths for each of the lines using the ratio and similarity of the isosceles triangles

Answer 3

AB is length 49 so length AC is also 49. The ratio is 4 so 7.5 * 4 = 28 for BC

Answer 4

49/4 = 12.25 and those are the lengths of the other 2 missing sides on the smaller triangle

Answer 5

so which option would that be ?

Answer 6

Not A or B

Answer 7

You gotta solve this 1 ;P

Answer 8

I narrowed it down to 2 choices so that should make it easier.

Answer 9

An easy hint would be, since both triangles are similar.. The perimeters have to be x4 or /4 from the other one.

Answer 10

The ratio of perimeters have to match the scaling factor used. So of C and D the only one that has a ratio of 4:1 is C