Question

PLZ HELP ASAP RIGHT TRIANGLES

Answer 1

The correct answer is (C) 12

Step-by-step explanation:
As it is an isosceles triangle and you can see it is divided into two right angled triangle, therefore, we can use Pythagoras theorem here:


`10^2 = 8^2 + ( (x)/(2))^2 \\ 100 = 64 + x^2/4 \\ x = √(144) = 12`

NOTE: (x/2) because the triangle base is divided into two halves.

Answer 2

We have two similar right angled triangles and each has the base x/2.

Using the Pythagoras theorem we can find the value of x/2 and thus the value of x. The hypotenuse is 10, perpendicular is 8 and base is x/2. So using the theorem we can write:


`10^(2)=8^(2)+( (x)/(2))^(2) \\ \\ 100=64+ ( (x)/(2))^(2) \\ \\ 36=( (x)/(2))^(2) \\ \\ 6=( (x)/(2)) \\ \\ x=12`

Thus the length of side x is 12. Option C is the correct answer.