Right Triangles Test

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1. Referring to the above right triangle, find the length of the Hypotenuse AC. (click for answer)

   9.43

   Using Pythagorean Theorem, we can say:
   5² + 8² = AC²
   or, 25 + 64 = AC²
   or, 89 = AC²
   or, 9.43 = AC

2. Referring to the above right triangle, find the length of BC. (click for answer)

   6.7

   Using Pythagorean Theorem, we can say:
   2² + BC² = 7²
   or, 4 + BC² = 49
   or, BC² = 49 – 4
   or, BC² = 45
   BC = √45
   Thus, BC = 6.7

3. Using the Pythagorean Theorem, verify whether the following sides would make up a right-angled triangle. The sides of the triangle are a = 5, b = 7, c = 15 (click for answer)

   No, the triangle is not a right triangle

   Using the Pythagorean Theorem, we can say:
   5² + 7² = 15²
   or, 25 + 49 ≠ 225
   or, 74 ≠ 225
   Thus, it does not satisfy the Pythagoras Theorem of a² + b² = c²