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
Related Maths GCSE answers
All answers ▸at a shop in the US tax is added onto the price of an item at the till. this shop adds 5.7% of the items value to the total cost. if you buy a ball priced as $15, how much will you have to pay ?
If x^2-5x+6=0, solve for x.
Solve the simultaneous equations algebraically
ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?