Question

Question #cca4c

Answer 1

See a solution process below:

Explanation:

We can say each side is made up of some number of units, let's call the units: `u`:

Then we can write and solve for `u`:

`1u + 3u + 3u = 56"cm"`

`(1 + 3 + 3)u = 56"cm"`

`7u = 56"cm"`

`(7u)/color(red)(7) = (56"cm")/color(red)(7)`

`(color(red)(cancel(color(black)(7)))u)/cancel(color(red)(7)) = 8"cm"`

`u = 8"cm"`

Therefore:

One side is: `1 xx 8"cm" = 8"cm"`

The two sides are: `3 xx 8"cm" = 24"cm"`

Answer 2

`24,24" and "8`

Explanation:

`"sum the parts of the ratio "=1+3+3=7`

`"so we can consider the perimeter to be in 7 parts"`

`rArr56/7=8larrcolor(blue)"1 part"`

`rArr3xx8=24larrcolor(blue)"3 parts"`

`"the sides of the triangle are "24,24" and "8" cm"`