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

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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EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
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would you rather
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choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
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.
10
5.
1
2
3
4
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Position in sequencen
Term in sequence y = n+1
6.
2
1
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3
4
Position in sequences
Term in sequence y = 2r2

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