in a triangle of ABC,AB= 11 cm , BC= 60 cm and AC = 61 cm. Examine if ABC is a right triangle. If yes, which angle is equal to 90° ?
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≡QUESTION≡
In a triangle of ABC,AB= 11 cm , BC= 60 cm and AC = 61 cm. Examine if ABC is a right triangle. If yes, which angle is equal to 90° ?
║⊕ANSWER⊕║
Here the 61 is the largest number so 61 must be a longest side(may be hypotenuse).
AC² = 61² = 3721
AB² = 11² = 121
BC² = 60² = 3600
AB² + BC² = 11 ² + 60 ²
= 121 + 3600
= 3721
AB² + BC² = AC²
11 ² + 60 ² = 61 ²
So, 11, 60 and 61 are the sides of right triangle.
As AC is the hypotenuse so ∠B = 90°
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