Question

Which set of values could be the side lengths of a 30-60-90 triangle

Answer 1

The answer is {4,4/3,8}

Hope this helps. :)

Answer 2

Answer with explanation:

→The Triangles whose Angle measurements are 30°-60°-90° is called Right triangle as one of the angle have measurement equal to 90°.

→For these kind of triangles , a set of pattern is followed by the sides which is called Pythagorean triplet.

→ The Pythagorean triplet is

m²-1,2 m, m²+1, where m can take any real value.

For example , take , m=3

→m²-1=3²-1=9-1=8

→2 m=2×3=6

→m²+1=3²+1=10

You must be thinking what is Pythagorean triplet .In a right triangle longest side is called Hypotenuse ,and smaller two sides are called Altitude and base respectively or vice versa.The rule followed by sides of triangle is

⇒(Hypotenuse)²=(Altitude)²+(Base)²

As you can see that numbers which follow Pythagorean Triplet is

⇒(m²+1)²=(2 m)² +(m²-1)²

As explained in the example

→10²=8²+6²