Geometry
Geometry

This free course is available to start right now. Review the full course description and key learning outcomes and create an account and enrol if you want a free statement of participation.

Free course

Geometry

Try some yourself

Question 1

Find the unknown angles in each of these diagrams, which represent part of the bracing structure supporting a marquee.

Answer

  • (a) In ΔABC,

    therefore

  • (b) In ΔFGH,

    therefore

    As EFG is a straight line,

    So

    In ΔEFH,

Question 2

Deduce the value of α in the triangle below.

Answer

Lines XY and XZ are of equal length. This means that the triangle is isosceles, so the base angles and are equal. Then

The third angle in the triangle is a right angle: .

Because the three angles in a triangle must add up to 180°,

Hence

Question 3

Find the unknown angles in the following isosceles triangles, which represent roof rafters.

Answer

  • (a) As this is an isosceles triangle, α = β.

    So

    Therefore

  • (b) As this is an isosceles triangle, γ = δ.

    So

    Therefore

MU120_4M7

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has over 40 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to university level study, find out more about the types of qualifications we offer, including our entry level Access courses and Certificates.

Not ready for University study then browse over 900 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus