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The length of XB is 5.3 cm.
How to find the length of XB?
To find XB, we need to apply Pythagoras' theory.
XN = 3.2 cm
BN = 4.2 cm
To find:-
Length of XB
In Triangle BNX:-
XN is perpendicular to BN so it is a right-angled triangle.
So, by Pythagoras theorem:-
⟹ (XB)² = (XN)² + (BN)²
⟹ (XB)² = (3.2)² + (4.2)²
⟹ (XB)² = 10.24 + 17.64
⟹ (XB)² = 27.88
⟹ XB = √27.88
⟹ XB = 5.28 ≈ 5.3 cm
⟹ XB = 5.3 cm
What is Pythagoras theorem?
Pythagorean theorem, the geometric theorem that the sum of the squares at the legs of a proper triangle is identical to the square on the hypotenuse (the aspect contrary to the proper perspective)—or, in familiar algebraic notation, a2 + b2 = c2.
Learn more about the Pythagorean theorem here: brainly.com/question/231802
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