Bashyboy said:Well, I did do that, and I got -8, -6, and 2.
Bashyboy said:Oh! terribly sorry: I meant to write -4 and -3. And I found them by creating three different triangles, each case having its side equal to on of the others. For instance, I said a = x + 5,
b = 3x + 13, and c = 4x + 11; then I arbitrarily assigned a and b to be the equivalent sides and set them equal to each other and solved for x. Then, in the second case, I said a = x + 5, but this time I set b = 4x + 11; and once again, I said that a and b were the sides of the isosceles triangle that were equal and consequently set them equal to each other and solved for x. I followed the same procedure for the third case.
Bashyboy said:Blimey, I erred once again; the -3 should be a -2, and I found it by setting x + 5 = 4x + 11
Bashyboy said:Oh, okay, I see: I never plugged the values back into each expression; as soon as I saw the negative value, I completely dismissed it, thinking that you can't have a negative measurement. So, the two answers should be 2 and -2? and this corresponds to two possible triangles?
An isosceles triangle is a type of triangle that has two equal sides and two equal angles. It is also known as a two-sided equal triangle.
In an isosceles triangle, the two equal angles are opposite the two equal sides. To find the missing angle, you can use the fact that the angles in a triangle add up to 180 degrees. So, if you know the measure of one of the equal angles, you can subtract it from 180 and divide the result by 2 to find the measure of the missing angle.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In an isosceles right triangle, this means that the two equal sides are the legs of the triangle and the hypotenuse is the square root of 2 times the length of one of the legs.
Yes, an isosceles triangle can be equilateral if all three sides are equal. In this case, all three angles would also be equal, making it both an isosceles and equilateral triangle.
An isosceles triangle has one line of symmetry. This means that if you were to fold the triangle in half along that line, the two resulting halves would be identical.