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Calculate the perimeter and area of the ...

Calculate the perimeter and area of the triangle in the picture.

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In the picture below, the top vertex of a triangle is joined to the midpont of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices: Prove that the areas of all three triangles in the picture on the are equal to a third of the area of the whole triangle.

Circle with centre O touches the sides of the triangle at P, Q and R, AB=AC , AQ=4 centimetres and CQ=6 centimetres.Find the perimeter and the area of the triangle. .

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V PUBLICATION-New Numbers-QUESTION BANK
  1. Of four equal equilateral triangles, two are cut vertically into halve...

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  2. A square and equiIateral triangle of sides twice as long we cut and th...

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  3. Calculate the perimeter and area of the triangle in the picture.

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  4. From the pairs of numbers given below, pick out those whose product is...

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  5. Compute the perimeter of the quadrilateral with measures as given in t...

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  6. The hypotenuse of a right triangle is 1 1/2 metres and another side is...

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  7. Area of a square is 3 square metres. a) Find țhe length of a side. b) ...

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  8. Simplify a) sqrt24 sqrt6 b)sqrt7 sqrt4 sqrt8 c) sqrt21 sqrt15 sqrt35...

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  9. Calculate the length of the sides of the equilateral triangle on the r...

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  10. Prove that (sqrt2+1)(sqrt2-1)=1. Use this to compute frac(1)sqrt(2-1)....

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  11. Compute frac(1)(sqrt2+1) correct two decimal places.

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  12. Simplify (sqrt3-sqrt2)(sqrt3+sqrt2) Using this compute 1/(sqrt3-...

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  13. Prove that sqrtx2 \2\3=2 \sqrtx\2\3 and sqrtx3 \3\8=3 \sqrtx3\8Can you...

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  14. All black triangles in the picture are equilateral. What is the rati...

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  15. Using sqrt3= 1.73, find sqrt3/4 correct to three decimals.

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  16. Using sqrt10 = 3.162, compute 1/sqrt10 correct to three decimals.

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  17. Using sqrt6= 2.449, calculate sqrt(2/3)+sqrt(3/2) correct to three dec...

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  18. Compute √12 - √3 upto two decimals.

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  19. Given sqrt2 = 1.414, find the approximate value of 3/sqrt2 to three de...

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  20. Using sqrtx2 \approx 1.414, \sqrtx3=1.732 . Calculate the value of the...

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