Answer:
one leg of the triangle = 2√2 cm
Step-by-step explanation:
We are given that the triangle is 45°-45°-90°
This means that it is an isosceles triangle where the two legs are equal
Assume that each leg is x cm
Now, since it is a right-angled triangle, we can apply the Pythagorean theorem to get the length of each leg as follows:
(hypotenuse)² = (first leg)² + (second leg)²
(4)² = (x)² + (x)²
16 = 2x²
x² = 8
either x = √8 = 2√2 cm ...........> accepted
or x = -√8 = -2√2 cm ........> rejected as length cannot be negative
Based on the above, each leg of the triangle given would be 2√2 cm
Hope this helps :)