What is the perimeter of the given isosceles triangle?
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What is the perimeter of the given isosceles triangle?
Due to the fact that the the triangle is isosceles, its two legs are equal to one another.
Therefore, the base is 7 and the other two sides are 12.
The perimeter of a triangle is equal to the sum of all the sides together:
31
In a right triangle, the side opposite the right angle is called....?
In an isosceles triangle, the two legs (sides that meet at the vertex angle) are equal. The diagram shows one side is 12 and another is 7, so the third side must be 12 to make it isosceles.
Check the triangle inequality! If two sides were 7 each, then 7 + 7 = 14, which is greater than 12. This works! But the diagram clearly labels one side as 12, making it one of the equal sides.
An isosceles triangle has exactly 2 equal sides, while an equilateral triangle has all 3 sides equal. This triangle is isosceles because only two sides are 12.
Yes! Perimeter is always the sum of all sides for any polygon. For triangles, add all three sides:
Use the triangle inequality theorem: the sum of any two sides must be greater than the third side. Check: 12 + 12 > 7 ✓, 12 + 7 > 12 ✓, and 12 + 7 > 12 ✓
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