Question

Find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!

Answer 1

`e = 13√(2)`

`f = 13√(2)`

Explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

`sin(\theta) = (opp)/(hyp)`

`sin(\theta) = sin(45) = (√(2))/(2)`

hyp = 26

opp = e = ?

Plug in the values into the formula

`(√(2))/(2) = (e)/(26)`

Multiply both sides by 26

`(√(2))/(2)*26 = (e)/(26)*26`

`(√(2))/(2)*26 = e`

`(√(2))/(1)*13 = e`

`13√(2) = e`

`e = 13√(2)`

Since side e is of the same length with side f, therefore, the length of side f =
`13√(2)`