math
posted by dit .
the length of the diagonals of a rhombus are in the ratio 3:4 if one side of the rhombus is 10 cm the length of both the diagonals of the rhombus

By the definition of a rhombus , all sides are equal, so if one side is 10, then all sides are equal to 10.
Also, the diagonals bisect each other at right angles creating 4 congruent rightangled triangles.
Looking at one of these triangles, we have sides
3x, 4x, and hypotenuse 10
9x^2 + 16x^2 = 100
25x^2 = 100
x^2 = 4
x = 2
Each triangle is 6 cm by 8 cm by 10 cm
According to my definitions, the diagonals would be 6x and 8x, or
12 cm and 16 cm. 
Ab=62
Ad=48
Respond to this Question
Similar Questions

geometry
lengths of diagonals of a rhombus are 12 cm and 16 cm respectively. Find the length of the side of rhombus. 
geometry
The diagonals of a rhombus are in 2:1. If the perimeter of the rhombus is 120cm, find the length of the diagonals. 
geometry
The length of the smaller of the two diagonals of a rhombus is 12 and the length of the larger diagonal is 16. What is the length of a side of the rhombus? 
Math
Which of the following statements is not always true? 
Maths
Diagonals of a rhombus are 6cm and 8 cm. Find the length of the side of the rhombus. 
geometry
Which of the following statements is not always true? 
math
In a rhombus ABCD,diagonals AC and BD are respectively 8cm and 6cm , the length of each side of rhombus is 
Maths
The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus 
maths
The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus 
Math
the diagonals of a rhombus are in the ratio 3:4. if its perimeter is 40cm then find the length of the sides and diagonals of the rhombus