:δrst and δxyz are equilateral triangles. the ratio of the perimeter of δrst to the perimeter of δxyz is 1 to 3. the area of δrst is 10.825 square inches. what is the area of δxyz? (round to nearest tenth)

A

Step-by-step explanation: 97.4 in2

A =

3

4

s2

s2 =

4A

3

s2 =

4(10.825)

3

s2 = 25

s = 5

then,

1

3

=

5

x

x = 15

thus, side lengths of ΔXYZ is 15.

A =

3

4

152

A = 97.428

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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