5. Isosceles and Equilateral Triangles
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Find m∠ G by considering the Isosceles Triangle Theorem and the Triangle Sum Theorem.
Both are incorrect. See solution.
Alexis and Miguela are finding m∠ G in the figure shown.
| Classification of Triangles | |
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| Scalene Triangle | A scalene triangle is a triangle in which all three sides have different lengths. |
| Isosceles Triangle | An isosceles triangle is a triangle that has two congruent sides and two base angles with the same measure. |
| Equilateral Triangle | An equilateral triangle is a triangle in which all the sides are congruent. |
| Acute Triangle | An acute triangle is a triangle where all angles are less than 90^(∘) or π2. |
| Obtuse Triangle | An obtuse triangle is a triangle with exactly one an angle whose measure is greater than 90^(∘) or π2. |
| Right Triangle | A right triangle is a specific type of triangle that contains one angle of 90^(∘). |
The given triangle has two congruent sides, which means that it is an isosceles triangle. Because of this, we can use the Isosceles Triangle Theorem to find m∠ G.
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Isosceles Triangle Theorem |
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent. |
m∠ H= m∠ G, m∠ F= 70
Add terms
LHS-70=RHS-70
.LHS /2.=.RHS /2.