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

VP
Answered by Vlad P. Maths tutor

2760 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Please expand the brackets in the following equation to get a quadratic equation. Then, please show using the quadratic formula that the solutions to the equation are x=3 and x=5. Here is the starting equation: (x-3)(x-5)=0


Sketching a quadratic


Define a surd and find the length of one side of a 50cm^2 square shape in surd form


Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences