find the length of side ( x ) to the nearest tenth.
find the length of side ( x ) to the nearest tenth.
Answer
Explanation:
Step1: Use the property of 30 - 60 - 90 triangle
In a 30 - 60 - 90 triangle, the sides are in the ratio (1:\sqrt{3}:2). Let the side opposite to (30^{\circ}) be (a), the side opposite to (60^{\circ}) be (a\sqrt{3}), and the hypotenuse be (2a). Here, the side opposite to (30^{\circ}) is (\sqrt{10}).
Step2: Find the hypotenuse (x)
Since the hypotenuse (x = 2a) and (a=\sqrt{10}), then (x = 2\sqrt{10}\approx2\times3.162 = 6.324\approx6.3)
Answer:
(6.3)