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In \(\triangle \)LMN, LP is the bisector of MN and QR is the bisector of LP. Points P and R are the points on linesegment MN and LN respectively. LR=
RS = SN ….(1)
LR = RS …..(2)
From (1) and (2)
LR = RS = SN
In \(\triangle ABC,\ AD\ \bot\ BC \) and \(\angle B=\angle C \) By which property is \(\triangle ADB \cong\triangle ADC \)?
An exterior angle of a triangle is \((4x-20)^o\) and the measure of two remote interior angles are \(25^o\) and \((x+15^o)\). The value of x is
( exterior angle is equal to sum of interior opposite angle)
An exterior angle of a triangle is \(135^o\) and one of the interior opposite angle is \(40^o\). Then the other two angles are.
(exterior angle is equal to the sum of interior opposite angle)
Which of the following is not a criteria for congruence of triangles?
SSA specifies two sides and a non-included angle
If AB = QR, BC = PR, CA = PQ then
In \(\triangle ABC,\ AB=AC \) and \(\angle B=50^o,\angle C \) is equal to
In \(\triangle PQR\ \angle R=P \) and \(QR=4 \) cm and \( PR=5\) cm. The length of PQ is
Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side cannot be.
The length of the third side cannot be less than 3.5 cm.
Which of the following statements is true?
All the aboue points are correct as line segments having same length, square having same side circle having same radius are congruent
AB = AC. E is midpoint of AB and F is midpoint of AC. What is the length of BF?
In (given)
and
In and
(given)
If the length of the largest side of a triangle is 12 cm. Find the possible values of its other two sides.
The other two sides must be greater than 12 cm.
So, 4.8 and 8.2 cm are the possible values.
\(DP=BQ \) and \(\angle ADP=\angle CBQ \). To which triangle is \(\angle ADP \) congruent to?
In \(\triangle \)ABC, if \(AD \) is the perpendicular bisector of \(BC \). Which of the following is true?
In the given figure \(GH||EF \) and \(\dfrac{DG}{GE}=\dfrac{3}{5} \) and \( DF=5.6\) cm. The value of \(DE \) is
(Basic proportionality theorem)
In an isosceles \(\triangle PQR,PQ=QR \) and \(QR^2=2PR^2 \) then
is a right angled triangle (by the converse of Pythagoras theorem)
If \(\triangle ABC\cong\triangle PQR \) and \( \triangle ABC\) is not congruent to \(\triangle RPQ \) then which of the following is not true?
As BC = QR
In a triangle other than an equilateral triangle angle opposite the largest side is greater than ………… of a right angle.
Let
Two sides of a triangle are of length 6 cm and 2 cm. The length of the third side cannot be
The third side cannot be less than (6 – 2) cm = 4 cm
In \(\triangle PQR\ \angle P=90^o \) and \(\angle R=30^o \). Which side is largest?
QR will be the largest side as is greater among
and
.
XA is a median and AB || xy . Which of the following statement is true?
XA is a median
By mid point theorem
Hypotenuse of a right isosceles triangle is \(5\sqrt2 \) cm. The value of two side is
By Pythagoras theorem
Longest side
Angle opposite to longest side
According to which congruency criteria, the two triangles are congruent?
In and
If AB || CD || EF || GH || IJ || KL and AC = CE = EG = GI = IK = 1 cm. if OA = 4 cm and AB =3 cm. Find the value of w.
In \(\triangle DEF \), which of the following statement is true?
(:- sum of two sides is greater than its third side)
In a right triangle, the two acute angles are \(4:5 \). Find them
angles are and
\(\angle Q\angle P \) and \(\angle R<\angle S \). Which of the following is true?
Adding equation (1) and (2)
\(\)PO+OS<QO+OR\\ \\ PS
It is not possible to construct a triangle with which of the following sides?
For any triangle sum of any two sides is greater than the third side.
2.3 + 3.1 = 5.4
‘P’ is, the exterior angle of \(\triangle \text{PQR}\) and ‘q + r’ is the sum of interior angles opposite to p. which of the following is true?
p = q + r (exterior angle is equal to sum of interior opposite angles)
If DA = DB = DC. Find \(\angle \)ACB
Similarly