In triangle ABC, BC = 29 units.
Given,
In Δ ABC, ∠A = 45°.
A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.
Let altitude meet AB on D.
So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°
In ΔADC,
tan A = DC/AD
tan 45° = DC/20
1 = DC/20
DC = 20 units
In ΔBDC,
BC² = BD² + DC² (Pythagorean Theorem)
= 21² + 20²
= 441 + 400
= 841
BC = √841
= 29
Hence, BC = 29 units.
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Answer:
Step-by-step explanation:
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Change each of the options into percentage
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Option A: Decimal to percentage: x100
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0.14 x 100 = 14%
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Option 2: Fraction to percentage: x100
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5/7 x 100 = 71.4%
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Option C: Fraction to percentage: x 100
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12/5 x 100 = 240%
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Option D: Decimal to percentage: x 100
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1.4 x 100 = 140%
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Answer D
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