Question

Can someone help me with this thing - Thanks!

Answer 1

Triangle has angles of 90°, 45° and 45° , therefore it's an isosceles right triangle, so the legs have the same length.

Let x be a leg.

`sin(45^o)= (opposite)/(hypotenuse) = (x)/(24) \ \ \to \\ \\ x = 24*sin(45^o) = 24 * ( √(2) )/(2)=12 √(2)`

Answer: D.

Answer 2

That's an isosceles right triangle. It got equal legs and it's half of a square. Finding the hypothenuse is like finding the diagonal of the square. So the legs are like the sides of the square.

From the formula hypothenuse = l√2 you get

Leg = (h√2)/2 = 24√2/2 = 12√2 (you can also do 24/√2)

Answer D