Question

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

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

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

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

$\\ \sf \longmapsto \: x=\dfrac{180}{40}$

$\\ \sf \longmapsto \: x=4.5$

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

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

Solution:-3

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

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