Question

Given triangle pqr with area of pqr is 50, angle q is 90. and angle p is 36

Answer 1

The length of PR of the given triangle is: PR = 14.50

How to find the length of the triangle?

We know that the area of a triangle is:

Area =
`(1)/(2) ab * sin (\alpha )`

where:

α is the angle between side a and side b.

Using this formula, we can set up three equations:

50 =
`(1)/(2) * PQ * QR * sin (90 )`

50 =
`(1)/(2) * PQ * PR * sin (36 )`

50 =
`(1)/(2) * QR * PR * sin (54)`

Solving these three equations gives:

PR = 14.50

Complete question is:

Given: △PQR, Area of △PQR = 50; m∠Q=90°, m∠P=36° Find: PR