How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?
1 answer:
Answer:
The leg is 8 cm long
Step-by-step explanation:
An isosceles right triangle has the length of its hypotenuse and opposite equal
Let us call the length x
From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have ;
x^2 + x^2 = (8 √2)^2
2x^2 = 128
x^2 = 128/2
x^2 = 64
x= √64
x = 8 cm
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