Question

Guys pls help with all the steps ​

Answer 1

Explanation:

To solve both questions you will have to use the Pythagoras theorem

`{c}^(2) = {a}^(2) + {b}^(2)`

c being the hypotenuse

so to find AB we say

`{ap}^(2) = {pb}^(2) + {ab}^(2)`

To make AB the subject of the formula, we take PB over. Therefore:

`{ab}^(2) = {ap}^(2) - {pb}^(2)`

now we just substitute

`{ab}^(2) = {13}^(2) - {5}^(2)`

`{ab}^(2) = 169 - 25`

`{ab}^(2) = 144`

square root both sides of the equation

`ab = 12`

We then use the same formula to find AQ(which is a hypotenuse)

`{aq}^(2) = {ab}^(2) + {bq}^(2)`

`{aq}^(2) = {12}^(2) + {9}^(2)`

`{aq}^(2) = 144 + 81`

`{aq}^(2) = 225`

square root both sides

`aq = 15`