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ratelena [41]
3 years ago
8

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch

es and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
Mathematics
2 answers:
enot [183]3 years ago
7 0
From the information given you have:

1) Smaller diagonal of the kite: 16 inches


2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)


3) Calculation of the height of the smaller triangle, h1:


10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6


4) Calculation of the height of the larger triangle, h2


17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2  - 8^2] = 15


5) Larger diagonal = h1 + h2 = 6 + 15 = 21


Answer: 21 inches
kenny6666 [7]3 years ago
4 0

Answer:

21 inches

Step-by-step explanation:

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By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

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Now, In ΔMRQ and ΔABC  

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The Fruitz fruit and vegetable shop is selling grapes at a price which is 10% cheaper than the Happy Fruiterer fruit and vegetab
sdas [7]

Answer:

(a) It costs $55 at Happy Fruiterer

(b) It will cost $49.64

(c) It is cheaper at Happy Fruiterer the second week

Step-by-step explanation:

Since Fruitz shop sells as 10% less than Happy Fruiterer at $50

10% more of $50 = 50 × 10/100 + 50

= $5 + $50 = $55

(a) n Kg of grapes will cost $55 at Happy Fruiterer

(b) if Happy Fruits discounts $55 by 5%, we will have

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that is $55 - $2.75 = $52.25

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= $49.64

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