Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

Which sums prove that the boards will create a triangular outline for the garden? Select all that apply.

5 + 2.5 > 4

5 + 2.5 < 4

4 + 2.5 > 5

4 + 2.5 < 5

4 + 5 > 2.5

135

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

the coordinates of a' are (-5, 10)

what i did is i   turned 2 1/2 into an improper fraction which is 5/2. then i multiplied this (the scale factor) by the coordinates of a which is (-2,4).

hope this : )

a             it is the sum of the initial amount and the additional amount after d days.

step-by-step explanation: