Answer: The other two sides measure 8.5 yards each
Step-by-step explanation: The triangle is a right angled triangle with the other two sides of equal measurement. What this means is that, one angle measures 90 degrees and the other two angles would be of equal measurement. The reason being that we have an isosceles triangle and one property of an isosceles triangle is that two sides are equal and two angles are equal. If one angle measures 90, then the other two would be measured as
(180 - 90)/2 and this equals
90/2 and that equals 45 degrees each. To calculate the length of the equal sides, we use the trigonometric ratio of sine.
(Let one of the unknown sides be A)
Sin 45 = opposite/hypotenuse
Sin 45 = A/12
By cross multiplication we now have
Sin 45 x 12 = A
0.7071 x 12 =A
8.4852 = A
To the nearest tenth
A = 8.5 yards
This means the other equal side would measure 8.5 yards as well.