Question

Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

By the pythagoras theorem for right angled triangles

24^2 = 10^2 + x^2
x^2 = 24^2 - 10^2

can you continue?

Answer 2

No :(

Answer 3

24^2 and 10^2 can be done on you calculator

Answer 4

576 and 100??

Answer 5

10^2 = 10*10 = 100

24 ^2 = ?

Answer 6

576

Answer 7

yea so that comes to 676

so x = sqaure root of 676

Answer 8

Oh okay thanks ;*

Answer 9

Now they want the answer in radical form so we need to factor 676 and include a factor which is a perfect square

Answer 10

OH I made a mistake its not 676
Can you see my mistake?

Answer 11

No i cant

Answer 12

its 24^2 - 10^2
= 576 - 100
= 476

Answer 13

Oh okay so i got 2 square root of 119 right???

Answer 14

x = sqrt476

and 476 = 4 * 119

x = sqrt 4 * sqrt 119
= 2 sqrt 119