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Ivanshal [37]
3 years ago
12

The sides of a right triangle containing the right angle are (5x) cm and (3x - 1) cm. If the area of the triangle be 60 cm, calc

ulate the length of the sides of the triangle.
Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer: hypotenuse (h) = 17 cm

Step-by-step explanation:

Nadusha1986 [10]3 years ago
6 0

The area of a right triangle is found using the formula 1/2 x base x height.

Using the provided information the equation becomes:

60 = 1/2 * 5x * (3x-1)

Combine 1/2 and 5x:

60 = 5x/2 * (3x-1)

Multiply each term by 2/5:

24 = 3x^2 - x

Subtract 24 from each side:

3x^2 - x - 24 = 0

Now factor the polynomial:

(x-3)(3x+8) = 0

Solve for each x for 0:

3-3 = 0, so x = 3

3x +8 = 0 : subtract 8 from each side:

3x = -8

divide both sides by 3: x = -8/3

Since a side of a triangle cannot be a negative value, we now know x = 3

Now replace x in each side with 3 and solve:

5x = 5(3) = 5 x 3 = 15

3x-1 = 3(3)-1 = 9-1 = 8

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GenaCL600 [577]

Answeri think its b lmk if im right or wrong :)

Step-by-step explanation:

8 0
3 years ago
35°<br> 50°<br> ?<br> Find the measure of the missing angle:
Marianna [84]

Answer:

i think the answer would be 95 degree. im not absolutley positive though

Step-by-step explanation:

i added 35 and 50 and got the sum of 85 then i subtracted 85 from 180 and got 95

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4 0
3 years ago
_ABC is a right triangle where m_B = 90Á. The coordinates of A and B are (5, 0) and (2, 5), respectively. If the x-coordinate of
Leokris [45]
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5

-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8

Therefore, the y-coordinate of point C is 8.
4 0
3 years ago
What is the answer to -4|8n|=-32
Kisachek [45]

Answer:

n=-1, 1

Step-by-step explanation:

-4|8n|=-32

Divide each side by -4

-4|8n|/-4=-32/-4

|8n|=8

When we have absolute values, we need to make two equations, one positive and one negative

8n=8             8n=-8

Divide each side by 8

8n/8 = 8/8         8n/8 = -8/8

n=1                     n=-1

7 0
3 years ago
What is the unit rate of 3 dozen apples for $4.50
Temka [501]
4.50/3=1.50/1
hope this helped 
5 0
3 years ago
Read 2 more answers
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