Practice Isosceles Triangle Theorem - 1.5 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

1.5 - Isosceles Triangle Theorem

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation