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2 years ago

Hey ok i need help on this question ive been stuck on it for a couple minutes haha

Mathematics

1 answer:

Len [333]2 years ago

7 0

Answer:

The side s has a length of 4 and side q has a length of 4 $\sqrt{3}$ ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

1 : $\sqrt{3}$ : 2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

1 : $\sqrt{3}$ : 2

s : q : 8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = $\sqrt{3}$ × 8

∴ 2q = 8 $\sqrt{3}$

→ Divide both sides by 2

∴ q = 4 $\sqrt{3}$

∴ The length of q is 4 $\sqrt{3}$

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