Explain answer my brainly ni8 Riders.... Quick ☿ study ovr ni8
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Hi there dear user ^_^
《 SOLUTION 》
We know, diagonals of rhombus divides it into 4 identical right angled triangle.
According to the question,
Hypotenuse = 41 cm
Area = 720 cm^2
= 720/4 = 180
Now using pythagorean theorem as well as some formulas based on the area of triangle, we get,
c^2 = a^2 + b^2
a^2 + b^2 + 2ab = 41^2 + (4 × 180)
(a + b)^2 = 2401
a + b = root under 2401
a+ b = 49
Now,
sum of diagonals = 2a + 2b
= 2 (a + b)
= 2 × 49
= 98 cm
Therefore, the sum of the lengths of its diagonals is 98 cm.
Hope that your doubt is clear ^_^
《 SOLUTION 》
We know, diagonals of rhombus divides it into 4 identical right angled triangle.
According to the question,
Hypotenuse = 41 cm
Area = 720 cm^2
= 720/4 = 180
Now using pythagorean theorem as well as some formulas based on the area of triangle, we get,
c^2 = a^2 + b^2
a^2 + b^2 + 2ab = 41^2 + (4 × 180)
(a + b)^2 = 2401
a + b = root under 2401
a+ b = 49
Now,
sum of diagonals = 2a + 2b
= 2 (a + b)
= 2 × 49
= 98 cm
Therefore, the sum of the lengths of its diagonals is 98 cm.
Hope that your doubt is clear ^_^
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