- #1
Dragondude
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Homework Statement
triangle dfg and triangle fgh are isoceles. measure of angle fdh=28. dg=fg=fh. Find measure of angle dfg.
Dragondude said:I took another look at the problem. Could you not use the Isocelses triangle theorem? Then use the angle sum theorem?
What do you mean by "the isosceles triangle theorem"? That the base angles are equal? That would help you knew one of angles in one of the two isosceles triangles- but you don't. Are you assuming that the two triangles are congruent? You didn't say that.Dragondude said:I took another look at the problem. Could you not use the Isocelses triangle theorem? Then use the angle sum theorem?
An isosceles triangle is a triangle with two sides that are equal in length and two angles that are equal in measure.
To find the measure of angle DFG, you can use the fact that in an isosceles triangle, the base angles (angles opposite the equal sides) are congruent. This means that angle DGF is equal to angle DFG. Therefore, you can use the equation 2x + x = 180° (where x represents the measure of angle DGF) to solve for x and find the measure of angle DFG.
In an isosceles triangle, the base angles (angles opposite the equal sides) are congruent, and the angles opposite the equal sides are equal. This means that the two equal angles in an isosceles triangle are always equal to each other, and the sum of all three angles is always 180°.
If you only know the length of the equal sides in an isosceles triangle, you can still find the measure of angle DFG by using the Pythagorean theorem. Since the equal sides form a right angle, you can use the Pythagorean theorem to find the length of the base (DF) and then use the method described in the second question to find the measure of angle DFG.
Yes, since an isosceles triangle has two equal sides and two equal angles, it is possible for more than one angle to have the same measure in an isosceles triangle. However, the sum of all three angles will always be 180°.