DAV Class 7 Maths Chapter 10 Worksheet 4
Construction of Triangles Worksheet 4
1. Draw a right triangle with hypotenuse of length 5 cm and one side of length 4 cm.
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2. Draw a right triangle with hypotenuse of length 4 cm and one side of length 2.5 cm. Measure the other two angles.
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\( \angle C = 50^\circ , \angle A = 40^\circ \)
3. Draw a right triangle ABC in which \( AB = 5.8 cm , BC = 4.5 cm \text{ and } \angle C = 90^\circ \)
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4. Construct a right triangle, having hypotenuse of length 5.4 cm and one of the acute angles of measure \( 30^\circ \).
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\[ \begin{align*} In \ \triangle ABC \\ \angle A + \angle B + \angle C & = 180^\circ \\ \angle A + 90^\circ + \angle 30^\circ & = 180^\circ \\ \angle A + 120^\circ & = 180^\circ \\ \angle A & = 180^\circ - 120^\circ \\ \angle A & = 60^\circ \end{align*} \]
5. Construct a right triangle whose two sides containing the right angle measure 9 cm and 12 cm.
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