Which of the following can be the side lengths of a triangle?

1 answer:

7 0

In a triangle the sum of two sides is always greater than the third side.

A:12,9,21
12+9 = 21
21 = 21 ⇒ no

B:7,6,12
7+6 = 13
13 > 12 ⇒ yes

C:3,8,14
3+8 = 11
11 < 14 ⇒ no

D:23,13,37
23+13= 36
36 < 37 ⇒ no

Answer: B:7,6,12

You might be interested in

Which ordered pair is the solution to the system of equations?

brilliants [131]

X+y=-1
3x-y=21
add them equations

x+y=-1
3x-y=21 +
4x+0y=20

4x=20
divide by 4
x=5

x+y=-1
5+y=-1
minus 5 both sides
y=-6

(x,y)
(5,-6)

D is answer

3 0

3 years ago

What is decimals -4.8(5.3)

bearhunter [10]

Answer:

-25.44

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The perimeter of the triangular park shown on the right is 14x-5. What is the missing length?

Lina20 [59]

Answer:70

Step-by-step explanation:

7 0

3 years ago

Calculate the area of the regular pentagon below:

djverab [1.8K]

Assuming the vertex of the triangle shown is the center of the pentagon, and the line segment shown is an altitude of the triangle:

If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.

The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:

5(Area triangle)=5*[(22.3*15.4)/2]=858.55 (square inches).

Answer: 858.55 (square inches).

7 0

3 years ago

Write a linear function f withe the values f (10) = 5 and f (2) = -3

MakcuM [25]

Answer:

(a) $f(x)=\frac{1}{2}x$

(b) $f(x)=-\frac{3}{2}x$

Step-by-step explanation:

8 0

2 years ago