The length of the hypotenuse is 5ft
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
c^2=25
sqrt c^2= sqrt 25
c=5
Therefore, the length of the hypotenuse is 5th
:)
Answer:
Step-by-step explanation:
(in X is 400) (in division is 0.000625) (in + its agin 400) ( and in minus is -40)
hope this help you if not i tried. :)
Answer:
1) 12
2) Yes, there could be 16 people
3) 1/2 of one segment which is 1 block or 2 skinny blocks
4) 1/12
5) 1 of 4 people -> This means that each person gets 1.5/6 pieces which is greater than 0.66/12 piece
1.5/6 = 3/12 which is greater than 0.66/12 piece
Step-by-step explanation:
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.
