Which of the following statements must be true of this triangle?
A. PR + RQ = PO
B. PR + PQ = QR
C. PQ + QR - PR
D. None of the above are true.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the right triangle PQR of the figure

Applying the Pythagorean Theorem

Remember that the area of square is equal to

where

b is the length side of the square

so

Area of square C

---> is given

so

Area of square A

---> is given

so

Area of square B

---> is given

so

substitute the given values in the Pythagorean Theorem

---> is true

The Pythagorean Theorem is satisfied  (PQR is a right triangle)

we have

rearrange

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1