Find the length of X and Y of these two right angled triangles (pictured) and prove their congruence, stating the rule.

(draws two right angled triangles, one with sides 3 and 4 units with the hypotenuse labelled 'x', one with a side labelled 4 units and 'Y' with the hypothenuse labelled 5 units).
The answer is in two parts. First, using Pythagorus' theorem find X and Y using the formula a^2 + b^2 = c^2.X = 5, Y = 3
Then, prove the triangles are congruent using the RHS rule. discuss how the SSS and SAS rules can also be easily used after the remaining sides have been discovered. Discuss how the ASA rule could also be used by calculating the angles with SOH CAH TOA.

Answered by Megan H. Maths tutor

2550 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are n sweets in a bag, 6 orange, rest yellow. H takes two, one after another, and eats them. Probability both are orange is 1/3. Show n^2 - n - 90 = 0.


What is the correct answer if you rearrange the following, making "c" the subject? (3c+b)/2 = c + a


Expand the following quadratic (x+3)(2x-2)


What is the solution to x^2 + 5x - 7 = 0


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