Question

Which group of three squares will form a right triangle when joined at their vertices?

Answer 1

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

  ↓

║64 + 100 = 324

  ↓

║FALSE

Option B)

║6² + 9² = 12²

  ↓

║36 + 81 = 144

  ↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

  ↓

║64 + 225 = 289

  ↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]