Mathematics
Grade9
Easy
Question
Find the missing length indicated. Leave your answer in simplest radical form.
- 60
- 100
- 80
- 20
Hint:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Using this we can find the equations and the find the value of x.
The correct answer is: 60
Assuming the triangles formed with sides x and 36 be 1st triangle, the triangle formed with sides x and (100-36)64 be the 2nd triangle and the bigger triangle be 3rd triangle.
In 1st triangle, we get :
let the length of the missing side be a
In 3rd triangle, we get :
let the length of the missing side be b
In 3rd triangle, we get :
so, the required value of x is 60.
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