Right Triangles Test
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- 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
- 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
- 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
