The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8. The perimeter of the triangle is 95 cm. What are the lengths of the sides?

20 cm, 35 cm, 40 cm

Step-by-step explanation:

sum the parts of the ratio, 4 + 7 + 8 = 19 parts

Divide the perimeter by 19 to find the value of one part of the ratio.

95 cm ÷ 19 = 5 cm, then

4 parts = 4 × 5 cm = 20 cm

7 parts = 7 × 5 cm = 35 cm

8 parts = 8 × 5 cm = 40 cm

Thus the 3 sides are 20 cm, 35 cm and 40 cm

The measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Step-by-step explanation:

Given that the lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8.

Also given that the perimeter of the triangle is 95 cm.

We know that the Perimeter of a triangle is the sum of all the sides of a triangle.

As the lengths of the sides of a triangle are in the proportion 4 : 7 : 8. Thus, the measure of the sides will have the same scale factor x.

Therefore,

4x + 7x + 8x = 95

Add similar elements: 4x + 7x + 8x = 19x

19x =  95

Divide both sides by 19

19x/19 = 95/19

x = 5

Therefore, the measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Verification:

20 + 35 + 40 = 95

95 = 95

(x+3)(x+7)

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.