The sides of a triangle are equal to integral numbers of units. Two sides are four and six units long respectively what is the minimum value for the triangles perimeter?

9514 1404 393

  13

Step-by-step explanation:

The shortest side must satisfy the relation ...

  s > 6 -4

The smallest integer s is s=3, so the shortest perimeter is ...

  3 + 4 + 6 = 13 . . . units

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This is 1 unit more than double the longest side.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .