The Diagram shows the Triangle PQR. PQ = x cm. PR = 2x cm. Angle QP^R = 30 degrees. The area of the triangle PQR = A cm^2. Show that x = (Squared Root){2A

Area of a Triangle Formula is
A = 1/2 abSINc
Label the sides of the triangle PR = 2x = a PQ = x = b
1/2 (x) 2x (x) x (x) SINc = A = x2 SINc
Rearrange the equation to give
(squared root) { A = x { SINc
QP^R = 30, thereforeQP^R = SIN(30) = 1/2
A divided by 1/2 = 2A
Therefore x = (squared root){2A

TD
Answered by Tutor305386 D. Maths tutor

10426 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I know when to use the cosine or sine rule?


A right angle triangle has a base of √8 and a height of (√10+3). Show that the area is equal to 2√5+3√2.


c) Sharon is organising an event. The tickets cost 12 pounds each. Sharon paid 200 pounds for the cost of the event. How many tickets will Sharon have to sell to make a profit? (2 marks)


Factroise x^2+9x-22 inro its simplest form


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