Math, asked by yash965, 1 year ago

the hypotenuse of a right angled triangle is 25 cm. if one of the sides is of length 24 cm. if what is the length of the other side?

Answers

Answered by abb3
11
h^=b^+a^
25*25=24*24+a^
625=576+a^
a^=625-576=49
a^=49
a=root 49=7cm
side=7cm
hope it helps

abb3: thanx for that braibliest
abb3: brain*
Answered by Bunti360
4
Here is the solution :

Pythagorean Theorem : In a Right angled Triangle, The sum of squares of non-Hypotenuse sides is equal to Hypotenuse squared,

Now,
Let the sides be a,b,c
From the Question,

Let a = one of the side = 24 cm,
Let c = Hypotenuse = 25cm,

Let b = Other side,

Now,
Applying Pythagorean theorem,

=> 25² = 24² + b²,
=> 625 = 576 + b²
=> 625 - 576 = 49 = b²
=> b² = 49,
=> b = +7 or -7,

But Side can't be negative,

So,

Therefore : The length of the other side is +7 cm,

Hope you understand, Have a great day !
Thanking you, Bunti 360 !!
Similar questions