Answer:
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Step-by-step explanation:
A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.
We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)
So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.




Now that we have a side length of
, we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

Answer:
The perimeter is the distance all the way around the outside of a 2D shape. To calculate the perimeter, sum the lengths of all the sides.
Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)
Collect like terms: 2x + 2x - 3x - 8 + 5 + 30
Combine like terms: x + 27
Therefore, perimeter of triangle = x + 27
We are told that the perimeter is 25:
x + 27 = 25
Subtract 27 from both sides: x = -2
If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12
A length cannot be negative, therefore the perimeter cannot equal 25.
Solution:
Consider the Given Isosceles Triangle
Considering the Possibilities
Case 1. When two equal angles are of 70°
Let the third angle be x.
Keeping in mind , that sum of Interior angles of Triangle is 180°.
70° + 70° + x= 180°
140° +x= 180°
x= 180°- 140°
x= 40°
Case 2:
When an angle measures 70°, and two equal angles measure x°.
Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.
70° + x° + x° = 180°
⇒ 70° + 2 x° = 180°
⇒ 2 x° = 180° - 70°
⇒ 2 x° = 110°
Dividing both sides by 2, we get
x= 55°