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.

Work out the lengths of each side; do so by adding the ratio components together (3+4+5).The components add to 12; we can now find the value of a single unit of the ratio, by dividing 72 by 12.72/12 is 6; each part of the ratio needs to be multiplied by 6 to get the final side length.3 x 6 = 18cm4 x 6 = 24cm5 x 6 = 30cmYou can check this is correct by adding up all the new lengths; 18 +24+30 = 72, so this is correct!Now, if you draw the right angled triangle and label it, use the area = (base x height)/2 formula to work out the area.The diagonal side of a triangle is always the longest, so that length is 30cm . l . 24cm l . 30cm Therefore, the area of the triangle is (18x24)/2, the same as (18x12). The area is 216cm2 l . l________ . 18cm

Answered by Lorissa F. Maths tutor

2917 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the minimum value of the quadratic 3x^2-8x+1.


The equation the line L1 is y=3x-2 and the equation of line L2 is 3y-9x+5=0. Show that these two lines are parallel.


Do two random lines, y=ax + b and y=cx + d, intersect? How do we work this out and if they do, where do they intersect?


The width of a Rectangle is 4cm shorter than its length. the rectangle has an area of 32cm2. Calculate its perimeter?


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