Find the length of a third side of a triangle given two sides. please
1 answer:
Answer: # 4.) 9.4
#5.) 10.2 cm
#6.) 5 inches .
Step-by-step explanation: Assuming that a right triangle is expected, use the <u><em>Pythagorean Theorem</em></u> to calculate the third side: a² + b² = c²
Then take the square root of 89. A calculator is handy for most of these!
√89 = 9.433981 . Round to 9.4
√104 = 10.1980 Round to 10.2 <u>Remember to include the units, cm in the answer.</u>
<u>Memorize this one:</u>
<u>Given side lengths of 3 & 4, the hypotenuse is 5!</u>
3² + 4² = 5² Called a "Pythagorean Triple"
9 + 16 = 25
The square on the hypotenuse is a perfect square of 5
No calculator necessary, and you are likely to see this ratio in other questions.
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Answer:
Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² = .