Question

Which set of numbers can represent the lengths of the sides of a right triangle? Round to the nearest whole number. 4, 4, 4 4, 6.93, 8 11.2, 16.2, 19.2

Answer 1

Hello,

A: 4 , 4 , 4 not right triangle

B: 4 , 6.93 , 8 or 4²+6.93²=64,0249 ≈64=8²

C: 11.2 , 16.2 , 19.2 or 11.2²+16.2²=387,88 =(19,69...)²

The best choice is B

Answer 2

Answer with explanation:

A set of numbers that is triplet is said to form the sides of a right triangle, if it satisfies Pythagorean Theorem,which states that

Square of longest side is equal to sum of Squares of other two sides.

1.First triplet=4,4,4

As, 4²≠4²+4²

Hence it does not form Pythagorean triplet.

2. Second triplet=4, 6.93, 8

Largest side length =8

8²=64

Sum of squares of two smaller sides =(6.93)²+4²

=48.0249+16

=64.0249

=64

3. Third triplet=11.2, 16.2, 19.2

Largest side length =19.2

(19.2)²=368.64

Sum of squares of two smaller sides =(11.2)²+(16.2)²

=125.44+262.44

=387.88

=388(approx)

Option B ⇒4,6.93, 8