Length of a rectangle is 8,length of digonal is 10.find wide
Answers
Answer:
brainliest answer
Step-by-step explanation:
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
Wide of the rectangle will be 6.
Step-by-step explanation:
Since, length of rectangle = 8
and length of diagonal = 10
So, a right angle triangle is formed with diagonal, perpendicular and base. So, we have to find base.
Let,
Diagonal = Hypotenuse
Base = wide = B
Perpendicular = length = Height
We know,
Hypotenuse² = base² + Height²
hence,
10² = B² + 8²
or, B² = 10² - 8²
or, B² = 100 - 64 = 36
or, B = √36 = 6
Therefore, Wide of the rectangle will be 6.