Question

The ratio of the perimeters of two similar triangles is 4:7. The sides of the larger triangles are 10, 12, and 13cm,

Answer 1

Answer:

Perimeter = 20cm

The perimeter is 35 for the larger triangle = 7:4 ratio

the perimeter for the smaller triangle = 4:7 ratio

We add up 4+7 = 11 and multiply 35 x 2 = 70.

so that the smaller triangle = 40  = 40:70

35 = 7 and 20 = 4

To find measurements of 20

we have any number over 10 combined will make the smaller sides possible,

Where hypotenuse would be under 10.

H = 6.5 Sides = 6 + 5 does not add up to 20

H = 9 Sides = 7 + 4  does have near equal spaced symmetry.

H = 9  Sides = 5 + 6  is wrong as no symmetry in measure

H = 8  Sides = 7 + 5 is wrong as no symmetry in measure

H = 7 Sides = 6 + 7  is wrong as equal sides

H = 6 sides = 6.5 + 6.5 is wrong as equal sides

H = 11 Sides = 6 + 3 is wrong has no symmetry.

The measurements must be 9cm, 7cm and 4 cm for the smaller triangle

The perimeter adds up to 20cm.