An isosceles triangle ABC has a perimeter of 16cm. AB = x+3, AC = x+4. Calculate the area of ABC.

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2

AM
Answered by Amelie M. Maths tutor

4191 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

ABC, DEF and PQRS are parallel lines. BEQ is a straight line. Angle ABE = 60° Angle QER = 80° Work out the size of the angle marked x. Give reasons for each stage of your working.


√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.


We have a parallelogram with sides of 8cm and 5cm and an angle of 140 degrees, calculate the length of two diagonals


10 The table gives information about the heights of 50 trees. Height (h metres) Frequency 0 < h - 4 ,8, 4 < h - 8 ,21, 8 < h - 12, 12, 12 < h - 16, 7, 16 < h - 20, 2. Work out an estimate for the mean height of the trees.


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