Plane Geometry
- If ∆ FGH is isosceles and FG < 3 cm, GH = 8 cm, then of the following, the true relation is.
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We draw a figure of an isosceles triangle FGH ,
Given that , FG < 3 cm
and G H = 8 cm
Clearly, FH = GHCorrect Option: A
We draw a figure of an isosceles triangle FGH ,
Given that , FG < 3 cm
and G H = 8 cm
Clearly, FH = GH
The sum of two sides of a triangle is greater than its third side.
- In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is
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We draw a figure of an isosceles triangle ABC ,
Given that , ∠ B = ∠ C
∴ ∠ A = 2(∠ B + ∠ C)
⇒ ∠ A = 4∠ C
we know that , ∠ A + ∠ B + ∠ C = 180°
∴ 4∠ C + ∠ C + ∠ C = 180°Correct Option: C
We draw a figure of an isosceles triangle ABC ,
Given that , ∠ B = ∠ C
∴ ∠ A = 2(∠ B + ∠ C)
⇒ ∠ A = 4∠ C
we know that , ∠ A + ∠ B + ∠ C = 180°
∴ 4∠ C + ∠ C + ∠ C = 180°
⇒ 6∠ C = 180°
⇒ ∠ C = 30°
