Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Just as a vector can be made from components, a vector can be split into compone

ID: 1882907 • Letter: J

Question

Just as a vector can be made from components, a vector can be split into components. This is done using similar triangles, which are triangles that have the same shape, but different sizes (see Figure 4). This allows you to find the lengths two sides of a triangle if the length of the third side is known. a. Triangles A and B in Figure 4 are similar. Find the lengths of the sides of triangle B. How did you do this? Justify your method. 4. 10 Figure 4: Similar triangles b. Triangles A and B in Figure5 are similar. Find the lengths of the sides of triangle B. Did you se the same method as in the 4 cm previous question? l cm 0.8 cm 0-53° 0.6 cm =53°) a Figure 5: Similar triangles, revisited

Explanation / Answer

a) as the two triangles are same.

a/10 = 4/5

a = 8

b/3 = 10/5

b = 6


b) as the two triangles are same.

a/0.6 = 4/1

a = 2.4 cm

b/0.8 = 4/1

b = 3.2 cm