The reciprocal of 10 2/3 is 3/32
For the triangle use 14 for the height and 9 for the base. use the formula 1/2bh and multiple it by two.
for the circle do 3.14 times 9 squared and divided it by two. formula 3.14r^2.
the answer should be 317.34
hope this helps.
Answer:
Step-by-step explanation:
<em>Cancel the </em><em>common factor</em><em> of 10 </em>
<em>to get the </em><em>exact form</em><em> of 5/3</em>
<u>Hope this helps</u>
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
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Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
