Answer:
Length of each leg = 8.91 units
Length of each angle other than right angle is 45°
Step-by-step explanation:
For better understanding of the solution see the attached figure :
ΔABC is right angled isosceles triangle ⇒ AB = BC
Now, by using Pythagoras theorem :
AC² = AB² + BC²
12.6² = 2×AB²
AB² = 79.38
AB = 8.91 units
So, BC = 8.91 units
Now, Since AB = AC
⇒ ∠BAC = ∠ACB ( equal sides have equal angles opposite to them)
Now, By using angle sum property of a triangle
∠ABC + ∠BAC + ∠ACB = 180°
90° + 2∠BAC = 180°
2∠BAC = 90°
∠BAC = 45°
⇒ ∠ACB = 45°
A = 19.47
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin A = 2/6
Take the inverse sin of each side
sin ^-1 ( sin A) = sin ^-1 (2/6)
A =19.47122063
To the nearest hundredth
36 and 72
2/8
2/8 or 1/4