perplexus.info :: Shapes : Area from Square Areas

Area from Square Areas (Posted on 2016-01-02)

O is a point inside the triangle MNP.
UV is a line drawn through O parallel to MP which intersects MN at U and NP at V.
RQ is a line drawn through O parallel to MN which intersects MP at R and NP at Q.
ST is a line drawn through O parallel to NP which intersects MN at S and MP at T.
The respective areas of triangles ROT, UOS and QOV are 4, 9 and 49

Find the area of triangle MNP

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The area of triangle MNP is 144.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2016-01-02 10:24:34

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