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Show that in an isosceles triangle, a...

Show that in an isosceles triangle, angles opposite to equal sides are equal.

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Show that in an isosceles triangle, the angles opposite to the equal sides are equal.

Prove that the perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are equal.

Angles opposite to two equal sides of a triangle are equal.

Find the area and perimeter of an isosceles right-angled triangle,each of whose equal sides measures acm

Fill in the blanks in the following so that each of the following statements is true Sides opposite to equal angles of a triangle are ....... Angle opposite to equal sides of a triangle are ....... In an opposite to equal sides of a triangle are ....... In a A B C if /_A=/_C , then A B= ..... If altitudes C E a n d B F of a triangle A B C are equal, then A B= ........ In an isosceles triangle A B C with A B=A C , if B D a n d C E are its altitudes, then B D is .......... C E In right triangles A B C a n d D E F , if hypotenuse A B=E F and side A C=D E , then A B C ~= ....

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

Find the area of an isosceles triangle whose equal sides are 8 cm each and the third side is 10 cm ?

If the altitudes from two vertices of a triangle to the opposite sides are equal,prove that the triangle is isosceles.

If the altitudes from two vertices of a triangle to the opposite sides are equal,prove that the triangle is isosceles.

RD SHARMA-CONGRUENCE-All Questions
  1. In each of the following pairs of triangles the measure of some par...

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  2. Which of the following pairs of triangles are congruent? A B C : ...

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  3. Show that in an isosceles triangle, angles opposite to equal sides ...

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  4. Show that the bisector of vertical angle of an isosceles triangle b...

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  5. In A B C ,\ /A=100^0\ a n d\ A B=A Cdot Find /B\ a n d\ /Cdot

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  6. In Fig.26, A B=A C\ a n d\ /A C D=120^0dot Find /Adot

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  7. Prove that measure of each of an equilateral triangle is 60^0

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  8. By applying SAS congruence condition, state which of the following ...

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  9. State the condition by which the following pairs of triangles are c...

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  10. In figure, line segments AB and CD bisect each other at O. Which of...

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  11. Line-segments A B\ a n d\ C D bisect each other at Odot\ A C\ a n d\ B...

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  12. Delta\ A B C is isosceles with A B=A Cdot Line segment A D bisects/A a...

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  13. In Fig.31, A B=A D\ a n d\ /B A C=/D A C State in symbolic form the ...

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  14. In figure, A B\ \ D C\ a n d\ A B=D Cdot IsDeltaA C D~=DeltaC A B ? ...

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  15. In each of the following pairs of triangle given in Fig.33, the mea...

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  16. Which of the following pairs of triangle are congruent? A B C : A B...

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  17. Which of the following pairs of triangle are congruent by ASA condi...

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  18. In Fig.37, A D bisects /A and A D|\ B Cdot IsDeltaA D B~=DeltaA D C ?...

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  19. Draw any triangle A B Cdot Use A S A\ condition to construct anoth...

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  20. InDeltaA B C , it is known that/B=/Cdot Imagine you have another co...

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