Find the breadth of rectangle whose length is 40cm and a diagonal is 41cm,
Find the breadth of rectangle whose length is 40cm.
pls explain...
Answers
Answered by
3
Step-by-step explanation:
The diagonal of the rectangle divides it into two right-angled triangles, so we can use the pythagorean theorem to solve this problem.
41cm is the diagonal and 40cm is the length.
hyp² = length² + breadth²
41² = 40² + breadth²
1681 = 1600 + breadth²
1681 - 1600 = breadth²
breadth² = 81
breadth = √81
= 9cm
Perimeter = 2( l + b )
= 2 * (40 + 9)
= 2 * 49
= 98cm
The perimeter of the rectangle is 98cm.
Answered by
1
Answer:
9cm
Step-by-step explanation:
Length of arectangle =40
Dioglonal of arectangle =41
Dioglonal=Hypotens
It is right angle triangle so,
40squre + xsqure=41 square
1600+xsqure=1681
xsqure =1681-1600
xsqure =81cm
x=9
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