Question

The fabric panels on a kite are rhombuses for the panel shown a formula for the length of the long diagonal d is d = sV3 where S is the length of a side solve the formula for S then find the value of S when d = 15 inches

Answer 1

Part a)
`s=(d)/(√(3))`

Part b)
`s=5√(3)\ in` or
`s=8.7\ in`

Explanation:

Part a) Solve the formula for S

we have

`d=s√(3)`

Solve for s

That means-----> isolate the variable s

Divide by √3 both sides

`(d)/(√(3))=(s√(3))/(√(3))`

`s=(d)/(√(3))`

Part b) Find the value of S when d = 15 inches

we have

`s=(d)/(√(3))`

substitute the value of d=15 in in the formula and solve for s

`s=(15)/(√(3))`

Simplify

`s=(15)/(√(3))(√(3))/(√(3))`

`s=5√(3)\ in` -----> exact value

`s=8.7\ in` -----> approximate value