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Alenkasestr [34]
3 years ago
12

A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible length

s of the legs?
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

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Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

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x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

8 0
2 years ago
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