8. An Isosceles triangle HIJ has sides HI and HJ as 19 meters each. If angle I and angle J are 67 degrees, what is the distance of IJ?

Step-by-step explanation:

In a triangle the sum of all angle measures is always 180 degrees

degrees

By splitting the isosceles triangle down the middle we can calculate the base

So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19

With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base.

now we need to rearrange the formula for what we have.

This value is only half of the base, so we need to double it

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction