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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
The hypotenus...
Question
The hypotenuse of a right triangle is
10
c
m
long. If one of the remaining two sides is of length
8
c
m
,
find the length of another side .
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Solution
Hypotenuse = 10 cm
Let Base = 8 cm
Now, by pythagoras theorem,
H
y
p
o
t
e
n
u
s
e
2
=
P
e
r
p
e
n
d
i
c
u
l
a
r
2
+
B
a
s
e
2
10
2
=
P
2
+
8
2
100
=
p
2
+
64
p
2
=
36
p
2
=
6
2
p
=
6
Hence, length of other side is
6
c
m
.
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Q.
The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long, the length of the other side is
(a) 25 cm
(b) 23 cm
(c) 24 cm
(d) 22 cm