Question

Find the tangent of theta

Answer 1

Given:

Right triangle.

Base = 10

Hypotenuse = 26

To find:

The missing side length

Solution:

Let the missing side length be x.

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

`10^2+x^2=26^2`

`100+x^2=676`

Subtract 100 from both sides.

`100+x^2-100=676-100`

`x^2=576`

Taking square root on both sides.

`x=24`

The missing side length of the right triangle is 24.