The value of x in the given figure is : Option 1: 8 cm Option 2: 7 cm Option 3: 9 cm Option 4: 12 cm

Answer: 7 cm. Solution: The right-angled triangle on top has hypotenuse 5 cm and base 4 cm, so its height = √(5^2 - 4^2) = √9 = 3 cm. The square below has side 4 cm. Total height x = triangle height + square side = 3 + 4 = 7 cm, which matches option 2.

Geometry

Triangles

Medium

The value of x in the given figure is :

8 cm

7 cm

9 cm

12 cm

✅ Correct Option: 2

The right-angled triangle on top has hypotenuse 5 cm and base 4 cm, so its height = $\sqrt{5^2 - 4^2} = \sqrt{9} = 3$ cm. The square below has side 4 cm. Total height $x$ = triangle height + square side = $3 + 4 = 7$ cm, which matches option 2.

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Solution

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