Help me solve this problem its urgent. In the above given figure( attached photo) , M is the point on side QR. Fill in the blanks using symbol =, > or < to complete the statement.

1) PM _ PQ + QM
2) PM _ PR + MR
3) PM _ 1/2 (PQ+PR+QR)

1) PM < PQ + QM

2) PM < PR + MR

3) PM < 1/2 (PQ + PR + QR)

Step-by-step explanation:

This problem is based on the Pythagorean Theorum Equation

which states that a right triangle with sides a, b and hypotenuse can be written mathematically as hypotenuse =

We can rewrite each line segment of the diagram into variables to simplify this problem and use the Pythagorean equation:

Line PQ = Hypotenuse 1, Line PR = Hypotenuse 2, Line PM = Side B, Line QM = Side A, Line MR = Side C

With all the line segments simplified into variables you can separate the diagram into 2 seperate triangles. Triangle 1 has H1, A, B and Triangle 2 has H2, C, B

Using the Pythagorean equation for both triangles you get:

H1 =   and H2 =  

Now you can assign random values for each variable and compare the problem statements.

For Triangle 1 lets assign variables A = 1, B = 2, and H1 = = = 1.73  For Triangle 2 lets assign variables C = 3, B = 2 and H2 = = 3.6  

For the final step you can directly compare the statements and see which symbol is correct.

1) B ____ H1 + A is equivalent to  2  ____ (1.73 + 1),  which is turns out to be  2 < 2.73   The answer is  <

2) B ____ H2 + C is equivalent to 2 ____ (3.6 + 3), which turns out to be

2 < 6.6    The answer is < again

3) B ____ 1/2 (H1 + H2 + (A+C)  is equivalent to  2 _____ [1/2] (1.73 + 3.6 + 1 + 3), which turns out to be  2 < 4.67     The answer is <  again

i believe that is true.

step-by-step explanation:

hope my answer has you if not i'm sorry.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: