You are given a right triangle ABC with angle ABC = 30 degrees and AB equal 7. Then AC and BC are then extended to points D and E so that EDC is a right triangle. Find length DE if BD = 15

First BC needs to be found. That is done by dividing AB by cosin ABC. Then CD is found by subtracting form BD. After that the angle ACB is 90-ABC (because ABC is right triangle). Then because AE and BD intersect at C, the angle ECD is equal to ACB. After that ED can either be found using sin, or by finding CDE and justify that both triangles are proportional (as they have all 3 same angles) and then ED is AB*CD/BC.

AE
Answered by Andrey E. Maths tutor

4190 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Bag A contains £7.20 in 20p coins. Bag B contains only 5p coins. The number of coins in bag B is three-quarters of the number of coins in bag A. How much money is in bag B?


Express 56 as the product of its prime factors.


Simplify √ 12 + √ 75


How do I solve simultaneous equations when one of the equations is not linear?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences