Question

5. Find the measures of the following. Round to the nearest whole number. (2 points)

a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T

Answer 1

Solution:-1

`\\ \sf \longmapsto \: HT=√15^2+8^2`

`\\ \sf \longmapsto \: HT=√225+64`

`\\ \sf \longmapsto \: HT=√289`

`\\ \sf \longmapsto \: HT=17cm`

Solution:-2

Angle T=15x

Let others be 8x and 17x

`\\ \sf \longmapsto \: 8x+17x+15x=180`

`\\ \sf \longmapsto \: 40x=180`

`\\ \sf \longmapsto \: x=(180)/(40)`

`\\ \sf \longmapsto \: x=4.5`

`\\ \sf \longmapsto \: 15x=15(4.5)`

`\\ \sf \longmapsto \: \angle T=67.5°`

Solution:-3

`\\ \sf \longmapsto \: \angle H=8x`

`\\ \sf \longmapsto \: \angle H=32.5°`