Question

*Which of the following measurement is NOT sufficient to construct a triangle, △GHI?*

1) ∠H = 30°, ∠I = 45° and HI + IG + GH = 10 cm
2) HI = 9 cm, ∠H = 90° and GH + GI = 12 cm
3) HI = 7 cm, ∠H = 60° and GH – GI = 3cm
4) HI = 6 cm and ∠H = 75°

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Answer 1

Answer:

I think

4) HI = 6 cm and ∠H = 75°

because to make a triangle at least 3 measure or rule of triangle congruency is needed to given like :-

Side, Side, Side (SSS)

Side, Angle, Side (SAS)

Side, Angle, Angle (ASA)

Right angle, hypotenuse, side (RHS)

In :-

1) ASA rule is allowed

2) RHS and SAS rules is allowed

3) SAS allowed

4) Only two measures are given which is not sufficient to construct a triangle.

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