**All 3 angles of a triangle have a sum of 180°.**

So if 2 of those 3 angles are 62.5°, you would just subtract that by 180°.

180 - 62.5 = 117.5

The third angle would have to be 117.5°.

7 0

4 years ago

TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'

const2013 [10]

Answer: The length of the line B'C" is 1 unit.

Step-by-step explanation:

Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.

If A (2,2), B= (4,3) and C=(6,3).

Distance between (a,b) and (c,d): $D=\sqrt{(d-b)^2+(c-b)^2}$

Then, BC $=\sqrt{(3-3)^2+(6-4)^2}$

$\\\\=\sqrt{0+2^2}\\\\=\sqrt{4}\\\\=2\text{ units}$

Length of image = scale factor x length in original figure

B'C' = 0.5 × BC

= 0.5 × 2

= 1 unit

Hence, the length of the line B'C" is 1 unit.

5 0

3 years ago