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

8002 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.


Sam takes out a £720 loan. Sam will have to pay back the £720 plus an interest rate of 15%. He will have to pay this back in 12 equal monthly instalments. How much must Sam pay monthly?


The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.


The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a


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:

© 2025 by IXL Learning