Math  /  Geometry

QuestionTest yourself 6
1. Find (i) the volume (ii) the total surface area of the given triangular prism.
2. Taking π=3.14\pi=3.14, find the area of the sector shown.
3. Find the area of the given parallelogram.

Hence find the value of hh.

Studdy Solution
Calculate the area of the parallelogram using the formula:
Area=Base×Height \text{Area} = \text{Base} \times \text{Height} =10×h = 10 \times h
Since the parallelogram has an adjacent segment of 8 cm, use the Pythagorean theorem to find h h :
92=82+h2 9^2 = 8^2 + h^2 81=64+h2 81 = 64 + h^2 h2=17 h^2 = 17 h=17 h = \sqrt{17}
The value of h h is:
17 cm \boxed{\sqrt{17} \text{ cm}}

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