3. The length of the hypotenuse of a right triangle is 12 yards. The
other two sides are equal in length. Find the length of each side to the
nearest tenth of a yard.

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.

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