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In the given figure\(\Delta ABC \sim \Delta PRQ\). Find the length of PQ.
In the given figure P and Q trisect the side AB and D and E trisect side AC. If PD=3.1 cm then BC is equal to
BC=9.3 cm
In the given figure\(\Delta ABC \sim \Delta AED\). Find\(\angle C\).
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The perimeter of two similar triangles ABD and PQR are respectively 40cm and 60cm. If PQ=12cm then find\(\dfrac{{ar\Delta ABC}}{{ar\Delta PQR}}\)
Perimeter of:Perimeter of
=40:60=2:3
In the given figure find AB+DE.
Let AB=x cm
AE=x+4 cm
Let DE=y
AB+DE=
In the given figure BD=6cm, AC=12cm, BA=8cm and\(\angle ADB = \angle ABC\). Find AD+BC.
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Let BC=y and AD=x
In the given figure\(\angle A = \angle CED\) find the value of x.
By AA similarity,
The areas of two similar triangles are 16\(c{m^2}\) and 289\(c{m^2}\), the ratio of their corresponding median is
A right triangle has hypotenuse of length p cm and one side of length q cm. If p−q=1, find the length of the third side of the triangle.
A ladder 15m long reaches a window which is 9m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to other side of the street to reach a window 12m high. Find the width of the street.
Width of the street=AB=12+9=21m
OA10
In the given figure. ABC is a right triangle right angles at B. AD and CE are the two sides drawn from A and C respectively. If AC=5cm, AD=\(\dfrac{{3\sqrt 5 }}{2}\)cm. Find the length of CE.
Also,
Adding equation (1) and (2),
ABC is an isosceles triangle right angles at B. Similar triangles ACD and ABE are constructed on sides AC and Ab. Fond the ratio between the areas of \(\Delta ABE\)and \(\Delta ACD\).
The perimeter of a right triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
If A be the area of a right triangle and b be one of the sides corresponding the right angle. The length of the altitude on the hypotenuse is
Area
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By AA criteria,
From equation (1) and (2),
ABC is a right triangle right angled at A. A circle is inscribed in the length of the two sides containing the right angles are 6cm and 8cm. Find the radius of the circle.
Area of=Area of+Area of+Area of
At what height does the tip of a 34m long ladder placed at a distance of 16m from a wall touched the wall?
\(\dfrac{{AO}}{{OC}} = \dfrac{{BO}}{{OD}} = \dfrac{1}{4}\)and AB=8cm. Find DC.
Corresponding sides are proportional,
The diagonals of a rhombus are 16cm and 12cm. what is the measure of its sides?
(Since, diagonals bisect each other perpendicularly)
If \(\Delta ABC\)and\(\Delta PQR\)are similar and\(\dfrac{{BC}}{{QR}} = \dfrac{1}{3}\). Find\(\dfrac{{ar\left( {\Delta PQR} \right)}}{{ar\left( {\Delta BCA} \right)}}\)
In trapezium ABCD, AB\(\parallel \)CD. If OA=x−4, OB=3x−19, OC=4 and OD=x−3. Find x.
(Since, diagonals of a trapezium divide each other proportionally)
The required value of x is 8 units.
In the given figure,\(\Delta ABC\)is right angled at A. what is the length of AD in terms of ’b’ and ‘c’?
In\(\Delta ABC,\angle A = 90^\circ \)and\(AD \bot BC\). If AB=5cm, BC=a cm and AC=b cm
BC
Rajan drives 13 Km in the north west direction turns left and drives 5 Km. How far is he from the starting point?
BC and EF are the corresponding sides of two similar triangles ABC and DEF. If BC=9.1cm, EF=6.5cm and the perimeter of\(\Delta DEF = 6.5cm\). Find the perimeter of\(\Delta ABC\)
Let the perimeter ofbe P cm.
If\(PB \bot AB\)and\(QA \bot AB = 4cm\), PO=4cm and QO=7cm. If area of\(\Delta QAO\)is 245\(c{m^2}\). What is the area of\(\Delta PBO\)?
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