A right-angled triangle has an adjacent of (x + 1) and (x - 1). (a) Find the length of the hypotenuse in terms of x. (b) Explain why the triangle can't be an isoceles triangle.

(a). Using Pythagoras' Theorem, (x + 1)2 + (x - 1)2 = x2 + 2. (b). (x + 1) cannot = (x - 1) for any x.

DA
Answered by David A. Maths tutor

3091 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

f(x) = (x + 1)^2 and g(x) = 2(x - 1) Show that gf(x) = 2x(x + 2)


How to derive the formula for a geometric series sum


How do I solve the following simultaneous equations? y = 2x -3 and 2x + 3y = 23


Define x and y if 3x+y=11 and 5x-2y=11


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning