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What is the value of p?

A) 22
B) 22 (sqrt) 2
C) 44
D) 44 (sqrt) 3

What is the value of p? A) 22 B) 22 (sqrt) 2 C) 44 D) 44 (sqrt) 3-example-1

1 Answer

6 votes
we know that
Applying the Pythagoras Theorem
c²=a²+b²
in this problem
c=44
a=p
b=a-------> by angle of 45 degrees
so
b=p
44²=p²+p²------> 2p²=44²------> p²=44²/2-------> square root----> p=44/√2
p=44/√2*(√2/√2)----> p=44√2/2----> p=22√2 units

the answer is the option
B) 22 (sqrt) 2
User Christal
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