The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.

1 answer:

4 0

Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
y = 2x-7-5

Substitute x =14 in the equation above:
y = 2(14)-7-5
= 28-7-5
= 21-5
= 16

The length of the third side is:
y+5 = 16 +5 = 21

Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.

You might be interested in

Which of the following is a radical equation?

andrew-mc [135]

Answer:

Given that a polynomial has a constant term and at least one other term what is the minimum number of possible zero values based on the rational zero test? a-0 b-2 c-3 d-4

3 0

3 years ago

Find the area and perimeter.

DanielleElmas [232]

Step-by-step explanation:

Perimeter = 12 + x + 6 + 2x + 5

Perimeter = 3x + 23.

Area = ½ × b × h

Area = ½ × 12 × (x + 6)

Area = 6(x + 6)

Area = 6x + 36

4 0

2 years ago

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,

pav-90 [236]

Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

$C\propto P \\ \\ \Rightarrow C=kP$

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

$33.60=32k \\ \\ \Rightarrow k= \frac{33.60}{32} =1.05$

Therefore, the total cost on a $55 item is given by

$C=1.05\times55=\$57.75$ </span>