Question

The smallest right-angled triangle where the lengths of all the sides are integers, has sides of length 3, 4 & 5 units. Identify by calculation, 2 other right-angle triangles with sides that have a sum closest to 100 units.

Answer 1

6, 8 and 10

12, 16 and 20

Explanation:

Area of smallest triangle

= ½(3)(4) = 6

100/6 = 16.666

16 as the multiple

Sum of Sides: ratio of 4

Two triangles with sides:

6, 8 and 10 area = 24

9, 12 and 15 area = 54

12, 16, 20 area = 96

Closest sum: 24+96 = 120