Class 9th math 6.5 solution english PCTB

Question # 01: Find the values of \(\small{x,y}\) and \(\small{z}\) from the following right angled triangles.

Question 2: Find the unknown side and angles of the following triangles.

Question 3: Each of a square field is \(\small{60\ m}\) long. Find the lengths of the diagonals of the field.

Solve the following tiranlges when \(\small{m\angle B=90^\circ}\):

Question 4: \(\small{m\angle C=60^\circ, c=3\sqrt{3}}\) cm.

Question 5: \(\small{m\angle C=45^\circ, a=8}\) cm.

Question 6: \(\small{a=12\ cm, c=6}\) cm.

Question 7: \(\small{m\angle A=60^\circ, c=4}\) cm.

Question 8: \(\small{m\angle A=60^\circ, c=4}\) cm.

Question 9: \(\small{b=10\ cm, a=6}\) cm.

Question 10: Let \(\small{Q}\) and \(\small{R}\) be two points on the same bank of a canal. The point \(\small{P}\) is placed on the other bank straight to point \(\small{R}\). Find the width of the canal and the angle \(\small{PQR}\).

Question 11: Calculate the length \(\small{x}\) in the adjoining figure.

Question 12: If the ladder is placed along the wall such that the foot of the ladder is \(\small{2\ m}\) away from the wall. If the length of the ladder is \(8\ m\), find the height of the wall.

Question 13: The diagonal of a rectangular field \(\small{ABCD}\) is \(\small{(x+9)\ m}\) and the sides are \(\small{(x+7)\ m}\) and \(\small{x\ m}\). Find the value of \(\small{x}\).

Question 14: Calculate the value of \(\small{x}\) in each case.