Question

30 60 90° triangles find the measure of the missing two sides for each figure below leave answer and rationalize and simple light form

Answer 1

Given : 30 60 90 triangle as shown in the following figure :

As shown : the hypotenuse of the triangle = 28√5

The side length opposite to the angle 30 =

`(1)/(2)\cdot28\sqrt[]{5}=14\sqrt[]{5}`

The side length opposite to the angle 60 =

`\frac{\sqrt[]{3}}{2}\cdot28\sqrt[]{5}=(28)/(2)\sqrt[]{3\cdot5}=14\sqrt[]{15}`