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boyakko [2]
1 year ago
9

What is the length of leg s of the triangle below? 45 √32 45° A. √4 B. 1.5 C. 16 ​

Mathematics
1 answer:
sineoko [7]1 year ago
3 0

Answer:

  • s = 4 units

Step-by-step explanation:

Given is isosceles right triangle, since its interior angles are 45°, 45° and 90°.

The missing length is therefore same as the length of the other leg:

  • s = 4

<u>Note</u>:<em> This is not included in the answer choices.</em>

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Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

#SPJ4

8 0
2 years ago
-2 + 11 + 16 + (-82) + 5 + (-11)
Tom [10]

Answer:

-63

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In the slope-intercept form, which variable<br> represents the slope/measure of change?
grigory [225]
Slope= Mx in y=Mx+b jrbdhendj
5 0
3 years ago
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected ov
Otrada [13]

Answer:

g(x) = -2|x+1| -3

Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x+1| -3 to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

7 0
3 years ago
Read 2 more answers
lauren is the youngest of four sisters. the average of their ages(all different whole numbers) is 9 years. what is the oldest th
Elina [12.6K]

The max of Lauren's age --> the minimum of the others' ages, 1, 2 & 3

4*avg = 4*9 = 36

36 - (1+2+3) = 30

Lauren is 30 yrs of age, or younger.

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3 years ago
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