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Vladimir [108]
2 years ago
6

Need help with solving this please

Mathematics
2 answers:
Anni [7]2 years ago
8 0
Since its an equilateral triangle, the angles are all 60 degrees.

cos60 = opposite / hypothenuse = x / sqrt3

cos60 = 1/2

x = sqrt3/2
LuckyWell [14K]2 years ago
3 0

Answer:

3/2

Step-by-step explanation:

Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio

s : 2s : sroot3

The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3

In this diagram the short leg is (root3)/2 .

(root3)/2 × root3 = 3/2

See image.

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