Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for side or perimeter, similar triangles question if hf = 11, fg …

Question

solve for side or perimeter, similar triangles question if hf = 11, fg = 10, hg = 9, ij = 22, and kj = 19.8, find the perimeter of △ijk. round your answer to the nearest tenth if necessary. figures are not necessarily drawn to scale. answer attempt 1 out of 3

Explanation:

Step1: Confirm similarity

△HFG ~ △IJK (AA: 57°, 49°, 74°)

Step2: Find scale factor

Ratio: IJ/FG = 22/10 = 2.2; KJ/HG = 19.8/9 = 2.2

Step3: Perimeter of △HFG

11 + 10 + 9 = 30

Step4: Perimeter of △IJK

30 * 2.2 = 66.0

Answer:

66.0