find the area of an equilateral triangle constructed on the diagonal of a rectangle length and breadth of the rectangle are 5 root 2 cm and 4 root 3 cm respectively
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Answer:
(49√3)/2
Step-by-step explanation:
diagonal of rectangle ABCD
(5√2)²+(4√3)² = (AC)²
(AC)² = (50+48)
(AC)² = 98
AC = 7√2
so the side of equilateral trangle will be 7√2.
so area of equilateral trangle
= (√3/4)*(side)²
= (√3/4)*(7√2)²
= (49/2)√3
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