Question

the diagonals of a rhombus are in the ratio 3:4 if its perimeter is 40 cm find the length of the diagonals of the rhombus​

Answer 1

Answer:

diagonals equal to 12 and 16

Step-by-step explanation:

✑ In a rhombus all 4 sides are equal, so each side = 10 cm

✑Since the diagonals bisect each other, the "half-diagonals" are also in the ration of 3 : 4

✑Let those half-diagonals be 3x and 4x

We have 4 congruent right-angled triangle, in each one:

(3x)^2 + (4x)^2 = 10^2

25x^2 = 100

x^2 = 4

x = 2

➪So the half-diagonals are 6 and 8 , making the diagonals equal to 12 and 16

${}$