answer to question 1 = diagram B
Answer to question 2 is = 25 cm^2
Step by step
Question 1
Using Pythagorean theorem
a^2 + b^2 = c^2 to prove a right triangle
We are Given the c^2 - find the square root and match with the diagram triangles hypotenuse or diagonal
A) √82 = 9.06 ❌
B) √25 = 5 ✅
C) √180 = 13.4 ❌
D) √80 = 8.9 ❌
So B) is your answer it is the one that is true
Question 2
We know the box labeled 16 cm^2 will have a side of 4 because √16 = 4
We know the box labeled 9 cm ^2 will have a side of 3 because √9 = 3
So we have two sides of a right triangle we can use Pythagorean theorem to find the hypotenuse or diagonal
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
√25 = c
c = 5 is the hypotenuse or diagonal and also the unknown side of the square
So your square has an area of 25 cm^2
Because LxW is 5 x 5 = 25