if the side of a rhombus is 10 cm and one diagonal is 16 cm then the of a rhombus is 96 cm^2 . state whether the statement is true or false and justify your answer .
Answers
Answered by
5
Answer:
TRUE
Step-by-step explanation:
Angle intersection of two diagonals of rhombus is 90 degree.
Therefore assumed 10 cm is the hypotenuse of the triangle formed.
16/2 will be one of the two legs and to find another legs
use triangle 10(hypotenuse) and 8(one legs) by pythagorean theorem other leg is equal to 6..
since you have 1 triangle out of four triangles formed by a rhombus by having diagonals.
area of triangle is (1/2)6 ×8 = 24
Since there are 4 traingles..
24 x4 = 96
Answered by
1
Answer:
To find the area of rhombus, we divide it into two triangles.⇒ s = (10 + 10 + 16)/2
= 36/2
= 18
As the sides of the other triangle are also same, so their areas will also be equal. Hence, the statement is True.
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