Construct a right-angled triangle ABC such that side $¯ ¯¯¯¯¯¯ ¯ B C = 48 c m$ and hypotenuse $¯ ¯¯¯¯¯¯ ¯ A C = 50 c m$ .

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Solution

Step 1: Draw a line segment $¯ ¯¯¯¯¯¯ ¯ B C = 48 c m$

Step 2: Draw $∠ C B D = 90^{\circ}$ at B using protractor or compass.
Step 3: With C as centre and radius equal to 50 cm, draw an arc to cut the ray $¯ ¯¯¯¯¯¯¯ ¯ B D$ at A and join $¯ ¯¯¯¯¯¯ ¯ A C$ .
ABC is the required triangle.

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Construct a right-angled triangle ABC such that side ¯¯¯¯¯¯¯¯BC=48 cm and hypotenuse ¯¯¯¯¯¯¯¯AC=50 cm.

Step 1: Draw a line segment ¯¯¯¯¯¯¯¯BC=48 cm Step 2: Draw ∠CBD=90∘ at B using protractor or compass.Step 3: With C as centre and radius equal to 50 cm, draw an arc to cut the ray ¯¯¯¯¯¯¯¯¯BD at A and join ¯¯¯¯¯¯¯¯AC.ABC is the required triangle.

Construct a right-angled triangle ABC such that side $¯ ¯¯¯¯¯¯ ¯ B C = 48 c m$ and hypotenuse $¯ ¯¯¯¯¯¯ ¯ A C = 50 c m$ .