If the diagonals in a rhombus are 8 and 6 then the perimeter is a) 16 b) 18 c) 20 d) 22

Question

asked Dec 25, 2023 164k views

1 Answer

Kit Grose · Answer 1 · 2023-12-29T22:36:22+0000

Answer:

Explanation:

If the diagonals in a rhombus are 8 and 6 then the perimeter is

a) 16

b) 18

c) 20

d) 22

the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.

8 : 2 = 4

6 : 2 = 3

find with Pythagoras the side of the rhombus

s = √(4² + 3²)

s = √(16 + 9)

s = √25

s = 5

now we find the perimeter by adding the 4 sides

5 + 5 + 5 + 5 = 20