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In the triangle ABC, BC = m^2 -n^2, AC =...

In the triangle ABC, `BC = m^2 -n^2`, `AC =3 mn` and `AB = m^2+n^2`. Prove that it is a right angled triangle.

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KALYANI PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

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  2. In an isosceles triangle ABC if AC=BC and AB^2 = 2AC^2, prove that /C ...

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  3. The length of the sides of a triangle are ax-by,ay+bx and sqrt((a^2+b^...

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  4. The length of the sides of a triangle are a+b,ab-1 and sqrt((a^2+1)(b^...

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  5. In the triangle ABC, BC = m^2 -n^2, AC =3 mn and AB = m^2+n^2. Prove t...

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  6. The perimeter of two similar triangles are respectively 25cm. and 15 c...

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  7. X is point on PQ and Y is a point on PR of a ∆PQR such that XY||QR. If...

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  8. Corresponding sides of two similar triangles are in the ratio 2:3. If ...

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  9. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  10. In a right angle triangle the length of the sides adjacent to the righ...

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  11. All squares are -. (Similar, congruent)

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  12. Fill in the gap : All rectangles are .

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  13. Fill in the gap : The ratio of the areas of two similar triangles is ...

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  14. Fill in the gap : Two triangles are similar if their sides are propo...

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  15. Fill in the gap : Pythagoras Theorem states that in a right angle, th...

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  16. In ∆LMN , /L = 60° , /M =50°. If ∆LMN ~ ∆PQR , Then the value of /R i...

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  17. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  18. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

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  19. Length of an altitude of an equilateral triangle of side'2a' cm is

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  20. ∆ABC is an isosceles triangle in which /C = 90°. If AC = 6 cm, Then AB...

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