Question

The length of the hypotenuse of a right triangle is 100 cm.

Give 3 possible lengths of the legs of the triangle.

Answer 1

70.7cm is a possible length because in a 45 45 90 triangle, the legs can be found by dividing 100 by square root 2. In a 30 60 90 triangle, the legs could be 50cm and 86.6cm and we get that because first we can divide 100 by 2 which equals 50 and then taking 50 and multiplying that by square root of 3 to get 86.6. This is according to the rules of the triangles. The answer is 70.7cm, 50cm, and 86.6cm