Question

Guys pls help with all the steps ​

Answer 1

Step-by-step 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

$aq = 15$