Question

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. 10.5cm,20.8cm,23.3cm

6cm, 22.9cm,20.1cm

Answer 1

• 10.5cm,20.8cm,23.3cm — yes
• 6cm, 22.9cm,20.1cm — no

Explanation:

If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.

1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle

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2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle