Trigonometric Ratios

[Ansar]

Hi guys I'm new here, math is one of my favourite subjects and it surprises me when I get stumped for some reason.
Either i'm not seeing this problem in the right light, just something. So if you guys can help me out that would be amazing.

So here is the problem:

If LP=10, LN=25, and Triangle LSP has an area of 30 units^2, calculate the area of LRN.

Thanks You for viewing!

 

[Deleted member 4993]

Hi guys I'm new here, math is one of my favourite subjects and it surprises me when I get stumped for some reason.
Either i'm not seeing this problem in the right light, just something. So if you guys can help me out that would be amazing.

So here is the problem:

If LP=10, LN=25, and Triangle LSP has an area of 30 units^2, calculate the area of LRN.

Thanks You for viewing!

Using similar triangles theorem:

LS/LR = SP/RN = LP/LN = 2/5

Then Area of LRN = ?

Then Area of LSP = ?

(Area of LRN)/(Area of LSP) = ?

 

[ClaireWu]

Hi guys I'm new here, math is one of my favourite subjects and it surprises me when I get stumped for some reason.
Either i'm not seeing this problem in the right light, just something. So if you guys can help me out that would be amazing.

So here is the problem:

If LP=10, LN=25, and Triangle LSP has an area of 30 units^2, calculate the area of LRN.

Thanks You for viewing!

By similar triangles, ratio of area of triangle LRN to area of triangle LSP = (LN/LP)^2

therefore area of triangle LRN = (25/10)^2 x 30 = .... unit^2