Geography
karogrzesik1
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In triangle VUW the measure of angle V equals (15y+9), the measure of angle U equals (22y+8),and the measure of angle W equals (14y+10) . Which side length is the smallest?

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Lolipop2804

We know that the sum of the interior angles of every triangle is 180°: ( 15 y + 9° ) + ( 22 y + 8° ) + ( 14 y + 10° ) = 180° 15 y + 22 y + 14 y = 180° - 9 ° - 8° - 10° 51 y = 153° y = 153° : 51 y = 3° ∠ V = 15 · 3° + 9° = 54° ∠ U = 22 · 3° + 8° = 74° ∠ W = 14 · 3° + 10° = 52° Let`s assume that opposite the angles V, U and W are sides v , u and w. Opposite the smallest angle is the smallest side of a triangle. Answer: Side length w is the smallest.

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