Chapter 6 – Triangles
D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE II BC. Then, length of DE (in cm) is
05
Jul
D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE II BC. Then, length of DE (in cm) is BC = 7.5 cm and DE II BC. Then BD = 3 cm [...]
If in Fig 6.1, O is the point of intersection of two chords AB and CD such that OB = OD, then triangles OAC and ODB are
05
Jul
If in Fig 6.1, O is the point of intersection of two chords AB and CD such that OB = OD, then triangles OAC and ODB are If in Fig 6.1 O is the point of intersection of two chords AB and CD such that OB = OD then triangles OAC and ODB are July [...]
18. Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides of the triangle.
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Jul
18. Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides of the triangle. 6. Find the altitude of an equilateral triangle of side 8 cm. July 5, 2021 Category: [...]
17. Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle.
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Jul
17. Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle. 17. Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is [...]
16. In Fig. 6.22, line segment DF intersect the side AC of a triangle ABC at the point E such that E is the mid-point of CA and ∠AEF = ∠AFE . Prove that BD / CD = BF / CE.
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Jul
16. In Fig. 6.22, line segment DF intersect the side AC of a triangle ABC at the point E such that E is the mid-point of CA and ∠AEF = ∠AFE . Prove that BD / CD = BF / CE. 16. In Fig. 6.22 line segment DF intersect the side AC of a triangle [...]
15. O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with AB II DC. Through O, a line segment PQ is drawn parallel to AB meeting AD in P and BC in Q. Prove that PO = QO.
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Jul
15. O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with AB II DC. Through O, a line segment PQ is drawn parallel to AB meeting AD in P and BC in Q. Prove that PO = QO. 15. O is the point of intersection of the diagonals [...]
14. In Fig. 6.21, PA, QB, RC and SD are all perpendiculars to a line l, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.
05
Jul
14. In Fig. 6.21, PA, QB, RC and SD are all perpendiculars to a line l, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS. 14. In Fig. 6.21 AB = 6 cm BC = 9 cm CD = 12 cm and [...]
13. In fig. 6.20, l II m and line segments AB, CD and EF are concurrent at point P. Prove that AE / BF = AC / BD = CE / FD.
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Jul
13. In fig. 6.20, l II m and line segments AB, CD and EF are concurrent at point P. Prove that AE / BF = AC / BD = CE / FD. 13. In fig. 6.20 CD and EF are concurrent at point P. Prove that AE / BF = AC / BD = CE [...]
12. In a quadrilateral ABCD, ∠A + ∠D = 90°. Prove that AC^2 + BD^2 = AD^2 + BC^2
05
Jul
12. In a quadrilateral ABCD, ∠A + ∠D = 90°. Prove that AC^2 + BD^2 = AD^2 + BC^2 ∠A + ∠D = 90°. Prove that AC^2 + BD^2 = AD^2 + BC^2 12. In a quadrilateral ABCD July 5, 2021 Category: Chapter 6 - Triangles , Maths , NCERT Class 10 ,
11. In ∆ PQR, PD ⊥ QR such that D lies on QR . If PQ = a, PR = b, QD = c and DR = d, prove that (a + b) (a – b) = (c + d) (c – d).
05
Jul
11. In ∆ PQR, PD ⊥ QR such that D lies on QR . If PQ = a, PR = b, QD = c and DR = d, prove that (a + b) (a – b) = (c + d) (c – d). 11. In ∆ PQR PD ⊥ QR such that D lies on [...]