Math, asked by pari73, 1 year ago

the hypotenuse of a right triangle is 26 cm long if one of the remaining two sides is 10 cm find the length of the other side

Answers

Answered by AshmitJain3107
187
Let the other side be x.
Then by Pythagoras Theorem,
26^2 = 10^2 + x^2
676 = 100 + x^2
676 - 100 = x^2
√576 = x
x = 24
Therefore, the third side of the triangle is 24cm.
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Answered by ItzMysticalBoy
53
Let ∆ ABC be right-angled at C.
Let AB=26 cm and BC=10 cm
Then, by pythagoras' theorem,

AB^2=BC^2+AC^2
=>AC^2= (AB^2-BC^2)
=(26^2-10^2)cm^2
=(676-100)cm^2
=576 cm^2

AC=√576 cm=24 cm
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