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Sonbull [250]
3 years ago
12

How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

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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