Triangle DGT is isoceles with TD=DG. If the perimiter of triangle DGT is 756cm and GT= 240cm then DG=?.
HELP ME???
...then 2*DG + 240cm = 756cm
solve for DG.
DG= 258
TD+ DG+240= 756
756-240= 516
TD+DG=516
2x=516
x=258
DG= 258
Why did the triangle go to therapy?
Because it had some serious perimeter issues!
Now, let's get down to business. We know that the perimeter of the triangle is 756 cm. We also know that GT is 240 cm. Since TD and DG are equal, let's call them x cm each. This means that the perimeter can be expressed as:
2*x + 240 cm = 756 cm
To find DG, we need to isolate x. So, let's subtract 240 cm from both sides:
2*x = 756 cm - 240 cm
2*x = 516 cm
Now, let's divide both sides by 2:
x = 516 cm / 2
x = 258 cm
Therefore, DG is equal to 258 cm.
To find the value of DG, we can use the fact that the perimeter of a triangle is the sum of the lengths of its sides.
Given that GT = 240 cm, we can denote DG as x (since TD = DG).
The perimeter of triangle DGT is given as 756 cm.
Using the formula for the perimeter of a triangle, we can write the equation:
2*DG + 240 cm = 756 cm
Simplifying this equation, we can subtract 240 cm from both sides:
2*DG = 756 cm - 240 cm
2*DG = 516 cm
Finally, we can solve for DG by dividing both sides by 2:
DG = 516 cm / 2
DG = 258 cm
Therefore, DG is equal to 258 cm.
To find the value of DG, we can start by setting up an equation using the information given in the problem.
We know that the perimeter of triangle DGT is 756cm, which means the sum of the lengths of all three sides (DT, DG, and GT) is equal to 756cm.
Since DT = DG (given that triangle DGT is isosceles), we can represent the perimeter equation as follows:
DT + DG + GT = 756cm
Since GT is given to be 240cm, we can substitute the values:
DT + DG + 240cm = 756cm
Using the fact that DT = DG, we can substitute DG for DT:
DG + DG + 240cm = 756cm
Now, we simplify the equation:
2DG + 240cm = 756cm
To isolate DG, we can subtract 240cm from both sides of the equation:
2DG = 756cm - 240cm
2DG = 516cm
Finally, to find the value of DG, we divide both sides of the equation by 2:
DG = 516cm / 2
DG = 258cm
Therefore, DG is equal to 258cm.