Female athletes receive 25

A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides

baherus [9]

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

**Please refer to the attached diagram when following the step-by-step**

First, find m∠C (green angle on diagram) by using the cosine rule:

$c^2=a^2+b^2-2abcos(C)$

$\implies 29^2=6^2+25^2-2(6)(25)cos(C)$

$\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}$

$\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}$

$\implies cos(C)=126.8698976... \textdegree$

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

$180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree$

Now use the Sine Rule (for finding sides) to determine height (h):

$\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}$

$\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}$

$\implies 6 \times \frac{4}{5}=h$

$\implies h=\frac{24}{5}=4.8$

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

7 0

3 years ago

Quadrilateral MNPQ is the same shape but a different size than quadrilateral M'N'P'Q'

I am Lyosha [343]

If the shape is the same, but the size is different, dilation is involved. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.

_____

Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.

6 0

3 years ago

The triangle shown below has an area of 25 units. Find the missing side. 10 x

riadik2000 [5.3K]

Answer:

theres no picture attatched

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angl

lys-0071 [83]

Answer:

k=29

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Can someone help me with this question with details

Rufina [12.5K]

Answer:

I think the answer is 5 ( if wrong then do a low rating)

Step-by-step explanation:

The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.

Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:

-2 + 7 and when solved is -2 + 7 = 5

8 0

2 years ago