Hi all!

Not sure if it's the right part of the forum, but:

Rectangle PQRS with Triangle PTV T between Q and R, V between R and S

PQ=10m, PS=12m , TR=xm, VS=xm

Show that the area of PTV, A square metres of PTV is given by

A(x)=60-6x+1/2x^2

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- Nov 17th 2009, 04:43 AMEenhoornthe area of a triangle in a rectangle
Hi all!

Not sure if it's the right part of the forum, but:

Rectangle PQRS with Triangle PTV T between Q and R, V between R and S

PQ=10m, PS=12m , TR=xm, VS=xm

Show that the area of PTV, A square metres of PTV is given by

A(x)=60-6x+1/2x^2 - Nov 17th 2009, 06:43 PMSoroban
Hello, Eenhoorn!

Quote:

Rectangle with triangle

where is between and , and is between and

Show that the area of is given by: .

Code:`. . . 10`

. . P *---------------* Q

. . . |* *:::::::::::|

. . . |:* *::[3]::| 12-x

. . . |::* *:::|

. .12 |:::* * T

. . . |::::* *:|

. . . |:[1]:* *:::| x

. . . |::::::* *:[2]:|

. . S *-------*-------* R

. . . x V 10-x

Area of

. . . . . . . . . . .

. . . . . . . . . . .

. . . . . . . . . . .

- Nov 18th 2009, 08:35 AMEenhoorn
Hi Soroban!

Thank you very much for your reply! and great answer! We came to the fact that we needed to subtract the 3 triangles, but never got such a clear formel as you! Cheers.(Happy)