In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB. Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: AB.

In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB.

Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: AB.

बेरीज

From the triangle ADC we have

tan 45° = `"AD"/"DC"`

1 = `(2)/"DC"`

DC = 2

Since AD || DC and AD⊥EC, ABCD is a parallelogram and hence opposite sides are equal.

∴ AB = DC = 2 cm

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Solution of Right Triangles

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पाठ 22: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - Exercise 24 [पृष्ठ ३०४]

पाठ 22 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 11.1 | पृष्ठ ३०४