Question
Draw three different triangles; a right angled triangle, an obtuse angled triangle and an acute angled triangle. Draw the medians of the triangles. Note that the centroid of each of them is in the interior of the triangle.
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Answer
i. Right angled triangle :
ii. Obtuse angled triangle :
ii. Obtuse angled triangle :
iii. Acute angled triangle :
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Find constant of variation and write equation of variation for every example given below :
i. $p \propto \frac{1}{q}$; if $\mathrm{p}=15$ then $\mathrm{q}=4$.
ii. $z \propto \frac{1}{w}$; when $z=2.5$ then $w=24$.
iii. $s \propto \frac{1}{t^2}$; if $\mathrm{s}=4$ then $\mathrm{t}=5$.
iv. $x \propto \frac{1}{\sqrt{y}} ;$ if $\mathrm{x}=15$ then $\mathrm{y}=9$.
→i. $p \propto \frac{1}{q}$; if $\mathrm{p}=15$ then $\mathrm{q}=4$.
ii. $z \propto \frac{1}{w}$; when $z=2.5$ then $w=24$.
iii. $s \propto \frac{1}{t^2}$; if $\mathrm{s}=4$ then $\mathrm{t}=5$.
iv. $x \propto \frac{1}{\sqrt{y}} ;$ if $\mathrm{x}=15$ then $\mathrm{y}=9$.
Construct a quadrilateral ABCD, in which AD = 3.5cm, AB = 4.4cm, BC = 4.7cm, $\angle\text{A}=125^\circ.$ and $\angle\text{B}=120^\circ.$
→Find the area of hexagon ABCDEF in which $\text{BL}\perp\text{AD},\text{CM}\perp\text{AD},\text{EN}\perp\text{AD}$ such that AP = 6cm, PL = 2cm, LN = 8cm, NM = 2cm, MD = 3cm, FP = 8cm, EN = 12cm, BL = 8cm and CM = 6cm.
→Construct ₹LMNO such that
l(LM) = l(LO) = 6 cm,
l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
l(LM) = l(LO) = 6 cm,
l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
Show the number √7 on the number line.
Shabana bought 16 dozen ball pens and sold then at a loss equal to S.P. of 8 ball pens. Find
(i) Her loss percent
(ii) S.P. of 1 dozen ball pen, if she purchased these 16 dozen ball pens for Rs. 576.
(i) Her loss percent
(ii) S.P. of 1 dozen ball pen, if she purchased these 16 dozen ball pens for Rs. 576.
Solve the following equation and verify your answer:
$\frac{\text{y}-(7-8\text{y})}{9\text{y}-(3+4\text{y})}=\frac{2}{3}$
→$\frac{\text{y}-(7-8\text{y})}{9\text{y}-(3+4\text{y})}=\frac{2}{3}$
Solve the following equation and verify your answer:
$\frac{9\text{x}-7}{3\text{x}+5}=\frac{3\text{x}-4}{\text{x}+6}$
→$\frac{9\text{x}-7}{3\text{x}+5}=\frac{3\text{x}-4}{\text{x}+6}$
A dealer bought two tables for Rs. 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then he found that each tables was sold for the same price, find the cost price of each table.
Construct a quadrilateral PQRS, in which PQ = 3.5cm, QR = 2.5cm, RS = 4.1cm, $\angle\text{Q}=75^\circ$ and $\angle\text{R}=120^\circ.$
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