The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Let x be a number so that the sides of the triangle are 3x, 4x and 5x, because the ratio is 3 : 4 : 5. The perimeter is 3x+4x+5x=12x=72, meaning that x = 72/12 = 6. The sides of the triangle are 36=18, 46=24 and 56=30. As the hypotenuse is the longest side, that is 30, and 18 and 24 are the lengths of the legs. As the area of a right triangle is the product of the legs divided by 2, that is 1824/2=216

Answered by Vlad P. Maths tutor

2633 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise x^2 - 7x + 12 = 0


Solve the quadratic equation, x^2 - 4x -5 = 0


When given an equation with both letters and numbers on each side of the equals sign, for instance 4x +3 = 5x - 3, how do you know what to do first?


expand y=(x+1)(x+2) and find what are the coordinates for x intercepts?


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