If Area of the square on the hypotenuse is 100cm^2 and area of the sqaure on one of the side of triangle is 36cm^2 then find the length of other side of the triangle.
Answers
Question :
If the square on the hypotenuse of a right angled triangle is 100 cm² and the square of one of the side of the triangle is 36 cm², then find the length of the other side of the triangle.
Solution :
• The square of the length of one of the sides of the triangle is 36 cm²
• The square of the length of the hypotenuse is 100 cm².
We have to find the length of the other side of the triangle
Suppose that length is x cm
Applying the phythagoreas theorem here
x² + 36 = 100
>> x² = 100 - 36
>> x² = 64
>> x = 8.
Hence the length of the other side of the triangle is 8 cm and this is the required answer.
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Answer:
8 cm
Step-by-step explanation:
Given :-
If Area of the square on the hypotenuse is 100cm^2 and area of the sqaure on one of the side of triangle is 36cm^2
To Find :-
length of other side of the triangle.
Solution :-
We know that
In a right angled triangle
h² = p² + b²
=> 100 = 36 + b²
=> 100 - 36 = b²
=> 64 = b
=> √64 = b
=> √(8 × 8) = b
=> 8 = b
Hence,
length of other side of triangle is 8 cm