using the 45 -45 -90 triangle theorem find the exact value of all the missing sides with a triangle - leg is x, leg is 5, and hypotenuse is 5 square root of 2
Using the 45-45-90 triangle theorem, we know that in a triangle where the two legs are congruent, the hypotenuse is √2 times the length of the legs.
Given that the leg is x, the other leg is 5, and the hypotenuse is 5√2, we have:
leg (x) = 5
hypotenuse = 5√2
From the theorem, we can find the length of the missing leg (x) by using the formula:
leg = hypotenuse / √2
Plugging in the values:
x = 5√2 / √2
x = 5
So the missing leg in the triangle is also 5.