Question

draw triangle∆PQR where angel PQ = 5.7 cm angel PR = 4 cm and m angel R=105°
draw perpendicular bisector of the triangle and write the point of concurrence​

Answer 1

$Answer:</p><p></p><p>Given: ΔPQR is right angled triangle where Q is right angle</p><p></p><p>          QS ⊥ PR</p><p></p><p>          QM bisect the ∠PQR</p><p></p><p>To prove: </p><p></p><p>In ΔPQR,</p><p></p><p>QM bisector of ∠PQR</p><p></p><p>   (Property of angle bisector of a triangle)</p><p></p><p> ..............(1)</p><p></p><p>Again in ΔPQR</p><p></p><p>QS ⊥ PR ⇒ ΔPQR is similar to ΔPSQ is similar to ΔRSQ</p><p></p><p>in ΔPSQ and ΔPQR</p><p></p><p>[tex\frac{PQ}{PR}=\frac{PS}{PQ}$  (both triangles are similar)

 .........(2)

Similarly form  ΔPSQ and ΔPQR

..............(3)

From (1) , (2) & (3)





Hence Proved

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