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Arisa [49]
3 years ago
12

Work out the Find the area of the isosceles triangle with sides of 13cm and a base of 10cm. Show your workings

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

60 cm²

Step-by-step explanation:

a=c= 13 cm

b= 10 cm

A=?

------------

A=bh/2

  • h is the leg of the right triangle with hypotenuse 13 cm and other leg 10/2 cm
  • h= √13²-5²= √169-25= √144= 12 cm
  • A= 10*12/2= 60 cm²
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Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all
Evgesh-ka [11]

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of points A and B into the formula and simplify:

m = \frac{(-10)-(5)}{(-5)-(0)} \\m  = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation y = mx + b, write the equation of the line. Remember that the number in place of m, or the coefficient of the x-term, is the slope. So, substitute 3 for m. Also, remember that b represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

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7 0
3 years ago
Consider these three squares with known area. 3 squares. The smallest square is labeled 25, the next square is 144, and the larg
Neko [114]

Answer:

The answer is "5, 12, and 13".

Step-by-step explanation:

Please find the complete question in the attached file.

The right triangle is a triangle with only an angle of 90 degrees, as well as the go in the angle of 90 degrees, which is considered a hypotenuse.

The hypotenuse calculation square is equivalent to both the squared measures of the other two sides:

C^2=A^2+B^2

And even those squares do verify the equation:

169 = 144 + 25

So, it's a rectangular (right) triangle, with sides spanning 5, 12, \ and \ 13.

3 0
3 years ago
Read 2 more answers
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