NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.4 – Part 2

Side opposite angle

Give the side opposite angle made triangle of ABC ,the figure give information of all point's opposite side.

Give the Side Opposite Angle

Give the side opposite angle made triangle of ABC ,the figure give information of all point's opposite side.

Q-3. In the figure, Equation and Equation . Show that Equation .

Angle α Angle α: Angle between B, A, D Angle β Angle β: Angle between C, B, A Angle γ Angle γ: Angle between B, C, D Angle δ Angle δ: Angle between C, D, A Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [C, B] Segment i Segment i: Segment [D, A] A text1 = "A" B text2 = "B" C text3 = "C" D text4 = "D" O text5 = "O"

Two Join Triangle AOB and DOC

Two join triangle AOB and DOC , ∠B < ∠A and ∠C < ∠D and AD>BC

Solution:

Given, Equation and Equation

  • Now,

    Equation …………..equation(1) (Side opposite to the smaller angle is smaller) Equation ……………..equation(2) (Side opposite to the smaller angle is smaller)

  • Adding (1) and (2) Equation

Q-4 AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Figure)Show that Equation and Equation

Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [A, C] Segment h Segment h: Segment [C, B] Segment i Segment i: Segment [B, D] Segment j Segment j: Segment [D, C] Segment k Segment k: Segment [A, D] A text1 = "A" B text2 = "B" C text3 = "C" D text4 = "D"

Quadrilateral ABCD

Quadrilateral ABCD that AB and CD are respectively the smallest and longest sides

Give, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD

  • In Equation Equation (see the figure) Equation …………….equation(1) (Angle opposite to longer side is larger.)

  • Now,In Equation , Equation (see figure) Equation ……………….equation(2) (Angle opposite to longer side is larger.)

  • Adding (1) and (2) we get, Equation Equation

  • Similarly, In Equation , Equation ……….equation(3) (Angle opposite to longer side is larger.)

  • Now,In Equation , Equation …………….equation(4) (Angle opposite to longer side is larger.)

  • Adding (3) and (4) we get, Equation

Explore Solutions for Mathematics

Sign In