Question

Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answer 1

`\sqrt{(9)/(2) }`

Explanation:

Given dimensions:

The right angle system is a 45 - 45 - 90

Hypotenuse = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

Let adjacent = y

opposite = y

For right angle triangles as this, using the Pythagoras theorem,

hypotenuse² = adjacent² + opposite²

Insert the parameters and solve;

3² = y² + y²

2y² = 9

y² =
`(9)/(2)`

y =
`\sqrt{(9)/(2) }`