Answer :
Answer:
19.4 inches
Step-by-step explanation:
We are asked to calculate the length of the sides of an equilateral triangle, given the altitude.
Let the length of the side of the triangle be x Inches
We can visualize the equilateral triangle as two different right angled triangles which are joined together. Each of the right angled triangle has an hypotenuse x inches, opposite, which is the altitude of length 16.8 inches and the base of length x/2 or 0.5x
Now we can solve for x using trigonometric ratio.
Sin 60 = 16.8/x
x = 16.8/sin60
x = 19.4 inches
Answer:
19.4 inch
Step-by-step explanation:
Since it is an equilateral triangle, all the sides and angles are equal.
Each of the angle of an equilateral triangle =60°
Using trigonometry, In Right angle triangle ABC
Sin 60 = 16.8/Hypotenuse
AB X Sin60= 16.8
AB= 16.8/Sin60° =19.4 inch
Each of the sides of the equilateral triangle is 19.4 inch (correct to 1 decimal place)
