Practice Isosceles Triangle Theorem (1.5) - Theorems in Geometry & Trigonometry
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Isosceles Triangle Theorem

Practice - Isosceles Triangle Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the angles opposite the equal sides of an isosceles triangle called?

💡 Hint: Think about what we name angles in a triangle.

Question 2 Easy

In an isosceles triangle, if one angle is 50°, what are the measures of the other two angles?

💡 Hint: Use the angle sum theorem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Isosceles Triangle Theorem state?

The angles opposite the equal sides are equal.
The base angles are unequal.
The sum of the angles is less than 180°.

💡 Hint: Think about what makes the triangle special.

Question 2

Is it true that the angles opposite equal sides of an isosceles triangle are equal?

True
False

💡 Hint: Revisit the definition of isosceles triangles.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

An isosceles triangle has a perimeter of 36 cm, with one side being the base. If the base is 12 cm, find the lengths of the equal sides and the angles.

💡 Hint: Set up the equation for perimeter and use Pythagorean theorem to find missing angles.

Challenge 2 Hard

Given an isosceles triangle where the equal sides are 10 cm long, what is the maximum possible length of the base to maintain the isosceles property?

💡 Hint: Use the triangle inequality theorem to determine limits.

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