NRICH: Terminology

Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?

The green triangle is an isosceles triangle while the blue triangle is an equilateral triangle.

An isoceles triangle circumscribing and equilateral triangle with angles between the vertices of the equilateral triangle and isosceles triangle of a, b and c
Find a in terms of b and c.

What can you say about the triangles if a=b=c?

Age 14 to 16

STEAM Topics Resource Audience Grade Level Tags

Math Topics

Algebra & Pre-Algebra, Equations, Geometry

High School, Educator

9th Grade, 10th Grade, 11th Grade

Triangles

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