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Vlad1618 [11]
2 years ago
11

Can someone help me with this?

Mathematics
1 answer:
forsale [732]2 years ago
8 0

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

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Rampur Sarpanch requested one of his villager to donate a 6m wide land adjusted to his 132.8m long side of his right triangular
Furkat [3]

Answer:

The answer is 3030.72 m³

Step-by-step explanation:

Please refer to attached file for graphical representation.

Formulas used:

Area = (a*b)/2

Trigonometry: Tan (t) = opposite/adjacent

Assume:

Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B

Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x

Angle common between them is t.

<u>Step 1</u>:

For t:

Tan (t) = a/b

Tan (t) = 123/50

Tan (t) = 2.46

<u>Step 2:</u>

For y:

Tan (t) = y/x

2.46 = y/6

y = 2.46*6

y = 14.76

<u>Step 3:</u>

Villagers old plot area: B = (a*b)/2 = (123*50)/2

B = 3075 m³

<u>Step 4:</u>

Plot donated area: C = (x*y)/2 = (6*14.76)/2

C = 44.28 m³

<u>Step 5:</u>

Villager remaining plot:

A = B-C

A= 3075-44.28

A = 3030.72 m³

Download docx
7 0
3 years ago
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