Question

Explain answer my brainly ni8 Riders.... Quick ☿ study ovr ni8

Answer 1

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 ^_^