Nothing found!
In the adjoining figure, NS//AM and NA//KM. NK is extended to the point S.
- Write the name of two triangles having equal area.
- Prove that: $\rm \triangle PAM = \frac {1}{2}$parallelogram $\rm AMKN$
In the given figure, PQRS is a square in which PR=10cm. PS is produced to T. What is the area of $\triangle$QRT so formed? Find it.
In a circle with centre O, circumference angles RMP and RNP are drawn on the same arc RP. $\angle$ROP is the central angle.
- Write the relation between $\angle$RMP and $\angle$RNP.
- If $\angle$MRN=(7x-2)$^{\circ}$ and $\angle$MPN=(3x+10)$^{\circ}$, find the value of $\angle$MRN.
- Verify experimentally that the relation between $\angle$RMP and $\angle$ROP after drawing two circles having radii at least 3 cm.
In the given figure, AB is the height of a boy, and a point C is the position of a flying kite in
the sky. AC is the length of the string of the kite.
- Define angle of elevation
- If $\angle$CAH =30$^{\circ}$, what is the value of CH? Find it.
- Find the height of the kite flying in the sky.
- If the measure of $\angle$CAH be changed from 30$^{\circ}$ to 45$^{\circ}$, at what height the kite fly than the previous height ? Find it.
Triangle PQT and parallelogram PQRS are standing on the same base PQ and between the same parallel lines PQ and ST.
- Write the relationship between the area of parallelogram and area of triangle standing on the same base and between the same parallel lines.
- If the length of base of parallelogram PQRS is 12 cm with height 8 cm, find the area of $\triangle$PQT.
A tree is broken by wind. The top of the broken part without detaching makes an angle of 30$\circ$ with the ground. The distance from the foot of the tree to the point on the ground where the top of the tree touches the ground is $\rm 9\sqrt 3$ m.
- Define angle of elevation.
- Sketch the figure from the above context.
- Find the length of the broken part of the tree.
- If the length of the remaining part of the tree after broken is also $9\sqrt 3$ meter, what angle will the top of the tree make with the ground? Write reason.