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diamong [38]
3 years ago
10

PLEASE HELP ME-Name the angles and sides of each pair of triangles that are congruent.

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Step-by-step explanation:

1) GH ≅ GH

HF ≅HL

GF ≅ GL

∠FGH =∠LGH

∠GHF = ∠GHL

∠GFH = ∠GLH

3)  WX ≅ DC

XY ≅ CY

WY ≅ DY

∠WXY ≅∠DCY

∠XYW≅ ∠CYD

∠XWY ≅∠CDY

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2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

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tan(60 - 45)°

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Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

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