2 sides of a right-angled triangle are 5cm and 6cm. Calculate the length of the hypotenuse.

You need to use Pythagoras's theorem which states that for any right angled triangle, a2+b2=c2 , where c is the hypotenuse and a and b are the other 2 sides of the triangle. Therefore, in this case a and b are 5cm and 6cm , so using Pythagoras, you can plug these numbers into the equation to calculate c (which is our hypotenuse): 52+62 = c2 . This means that 61 = c2 , so to work out the length of c, you must do the inverse of squaring , which is the square root of 61 = 7.81cm (2 dp) --> that is the length of the hypotenuse.

RM
Answered by Rikesh M. Maths tutor

8999 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand the following brackets: a) 4(x+3) b) 3(x-1)-2(x+5) c) (y-3)^2 d) (y-2)^2 + (y+3)^2


A rectangle has the length of (2x + 5) and the width of (3x - 2). The perimeter of the rectangle is 36cm. Find the length and width of this rectangle.


Factorise fully the following expression: 2a^(2)b + 6ab^(2)


I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?


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