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If \(\Delta ABC \sim \Delta DCB\),then \(AB \times DB\)
Sides of two similar triangles are in the ratio\(5:8\). Area of these triangles are in the ratio
Ratio (âˆ´ratio of the areas of two similar triangles are proportion to the square of their sides)
There are of two similar triangles are in the ratio \(16:25\). The ratio of their corresponding sides is
The areas of two similar triangles ABC and DEF are \(144\)and \(81\) respectively. If the longest side of triangle ABC larger be \(36cm\) then the largest side of smaller triangle âˆ†DEF is
If ABC and DEF are similar such that \(2AB = DE\) and \(BC = 8cm\)then EF=
Two poles of height 6m and 11m stand vertically upright on a plane ground. If the distance between their foot is 12m the distance between their tops is
If triangle ABC is an equilateral triangle such that \(AD \bot BC\) then \(AD^{2} = \)
In triangle ABC,AD is the bisector of \(\angle BAC\).If AB=8cm , BD=6cm, DC=3cm find AC
In is the bisector of
IIf \(\Delta ABC \sim \Delta DEF,{\rm{ar}}(\Delta ABC) = 9c{m^2},{\rm{ar}}(\Delta DEF) = 16c{m^2}\).If BC=2.1cm, then the measurement of EF=
A men goes 24m due west and then 7m due north. how far is he from the starting point
ABC is a isosceles triangle right angled at C. \(A{B^2}\) is equal to
If the ratio of the perimeter of two similar triangles is \(4:25\).The ratio of the similar triangle
Ratio of corresponding sides=
Area=
If \(\Delta ABC \sim \Delta DEF\)such that AB=9.1cm and DC=6.5cm. If the perimeter of \(\Delta ABC\)
…
If \(DE\parallel BC,AD = X,DB = X – 2,AE = X + 2,EC = X – 1.\)The value of x is
(Basic proportionately theorem)
ABC is an equilateral triangle of side 2A. find each of its attitudes
An airplane leaves an airport and flies due north at a speed of 1000km per hour. At the same time another airplane leaves the same airport and flies due west at a speed of 1200km/hr. how far will be the two planes after \(1\dfrac{1}{2}hours\)
In traingle ABC, AD is the bisector of \(\angle A\), meeting side BC at D. if AC=4.2cm,DC=6cm,BC=10cm, find AB
In triangle ABC
(Internal bisector theorem)
In triangle ABC, right angle at B and D is the midpoint of BC. The value of \(A{C^2}\) is
In .triangle ABC
..
ABC is a triangle right angled at C and AC=\(\sqrt {3BC} \).The value of \(\angle ABC\)is
What is the area of a square of a diagonal 12cm
In an
\(\)\begin{gathered}
\vartriangle ABC \hfill \\
{X^2} + {X^2} = 144 \hfill \\
2{X^2} = 144 \hfill \\
{X^2} = \frac{{144}}{2} = 72 \hfill \\
So area = 72c{m^2} \hfill \\
\end{gathered} \(\)
In the given figure, BA and BC are produced to meet CD and AD produced is E and F. then \(\angle AED + \angle CFD = \)
P and Q are points on sides AB and AC respectively of âˆ†ABC. If AP=3cm,PB=6cm,AQ=5cm,QC=10cm,BC=
In the given figure,\(\angle ABC = 90^\circ \ and \ BD \bot AC. \text{If BD = 8cm, AD = 4cm then CD =} \)
In âˆ†DBA and âˆ†DCB
In the given trapezium ABCD, ABCD and AB=2CD. If area of traingle AOB is 84 then the area of traingle COD is?
In
( vertically opposite angles)
(alternate interior angles)
(AA similarity)
(AB=2CD)
In a triangular field PQR, MN is parallel to the side QR. If PM=56m, PQ= 70m and MN=30m then find QR?
In rhombus PQRS, \(P{Q^2} + Q{R^2} + R{S^2} + S{P^2} = \)?
Sum of squares of sides is equal to sum of squares of diagonals.
The value of x if PS QR is?
PSQR
\\(\)\begin{gathered}
\vartriangle OQR \sim \vartriangle OSP \hfill \\
\Rightarrow \dfrac{{6x – 5}}{{2x + 1}} = \dfrac{{5x – 3}}{{3x – 1}} \hfill \\
\Rightarrow (6x – 5)(3x – 1) = (5x – 3)(2x + 1) \hfill \\
\Rightarrow 18{x^2} – 6x – 15x + 5 = 10{x^2} + 5x – 6x – 3 \hfill \\
\Rightarrow 8{x^2} – 21x + x + 8 = 0 \hfill \\
\Rightarrow 8{x^2} – 20x + 8 = 0 \hfill \\
\Rightarrow 4{x^2} – 10x + 4 = 0 \hfill \\
\Rightarrow 4{x^2} – 8x – 2x + 4 = 0 \hfill \\
4x(x – 2) – 2(x – 2) = 0 \hfill \\
4x = 2 \hfill \\
x = \dfrac{1}{2},2 \hfill \\
\end{gathered} \(\)/latex]
The length of diagonals of a rhombus is 16cm and 12cm. the length of the side of the rhombus is?
In the figure if\(\angle ACB = \angle CDA\), AC=8cm and AB=3cm. the value of BD is?
In
(AA similarity)
So,
Write symbolically in which triangle ABC and DEF are similar.
By SSS,