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Byju's Answer
Standard VII
Mathematics
Pythagorean Theorem
The length of...
Question
The length of the hypotenuse in the figure is:
[1 Mark]
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Solution
Triangle ABC is a right angle triangle, right angled at B, so AC is the hypotenuse.
Therefore using Pythagoras' Theorem
A
C
2
=
(
5
−
1
)
2
+
(
1
−
4
)
2
= 16 + 9
A
C
2
=
25
∴
A
C
=
5
[1 Mark]
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Q.
In the given figure, an altitude is drawn to the hypotenuse .The lengths of different segments are marked in the figure. Determine the values of x, y and z in the given case.