Answer:
In the first picture: c = √32
In the second picture: a = √175
Explanation:
I suppose that we want to find the value of c (in the first image):
Here we have a triangle rectangle, remember the Pythagorean theorem.
if c is the hypotenuse, and a and b are the cathetus of a triangle rectangle, then we have:
a^2 + b^2 = c^2
For the first triangle we know that:
a = 4, b = 4
Then:
(4)^2 + (4)^2 = c^2
16 + 16 = c^2
32 = c^2
√32 = c
Now in the second image we want to find the value of a, such that:
c = 16, b = 19
Now we can replace these in the equation:
a^2 + b^2 = c^2
a^2 + 9^2 = 16^2
a^2 = 16^2 - 9^2 = 175
a = √175