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dlinn [17]
2 years ago
5

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 29 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Annette [7]2 years ago
4 0

Answer:

Perimeter = 78.7 inches

Step-by-step explanation:

From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;

/hyp/^{2} = /adj 1/^{2} + /adj 2/^{2}

          = (29)^{2} + (9)^{2}

          =841 + 81

/hyp/^{2} = 922

hyp = \sqrt{922}

      = 30.3645

The perimeter of the triangle can be determined as;

perimeter = l_{1} + l_{2} + l_{3}

                 = 30.3645 + 18 + 30.3645

                 = 78.729

The perimeter of the triangle = 78.7 inches

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1

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Answer:

Step-by-step explanation:

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5 0
3 years ago
On tuesday, donovan earned $11 for $2 of babysitting. on saturday, he babysat for the same family and earned $38.50. how many ho
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3 0
3 years ago
Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

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⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
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