The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
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What is an isosceles right angled triangle?</h3>
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
- Both equal sides are of length 'a' feet
- The unequal side is of the length 'b' feet.
Using the Pythagoras theorem, we get:
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got , and therefore, we have:
Thus, perimeter of the triangle as:
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
Learn more about Pythagoras theorem here:
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