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1 year ago

The measurement of one angle of a right triangle is 61°.

Mathematics

2 answers:

Katyanochek1 [597]1 year ago

5 0

All the interior angles of a triangle added up is 180 degrees

180-61-90(given a right triangle)=

90-61=

Free_Kalibri [48]1 year ago

4 0

29 degrees since the sum of all the angles of a right triangle has to be 180 degrees

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AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A

Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

$\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}$ .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

$\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}$ ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

$\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}$ .....(3)

The area of triangle APM is 35m².

$\text{Area of }\triangle APM=\frac{x}{4}$

$35=\frac{x}{4}$

$x=140$

Therefore the area of triangle ABC is 140m².

Using equation (2).

$\text{Area of }\triangle APC=\frac{x}{2}$

$\text{Area of }\triangle APC=\frac{140}{2}$

$\text{Area of }\triangle APC=70$

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

$\triangle BPC=\triangle BPM+\triangle PMC$

$70=35+\triangle PMC$

$35=\triangle PMC$

Therefore the area of triangle PMC is 35m².

8 0

3 years ago

Select all that apply <br> thαnkѕ pєrѕσn

vodka [1.7K]

Im gonna guess and say the right ones might be
A = AB or A'B'
B = CB or C'B'
D = CA or C'A'
Cus all equal the same side
H0P3 It H2LPS :)
or something

8 0

2 years ago

The slope of a line that passes through points (-1, -3) and (-2,5) is:

sweet [91]

Answer:

m = -8

Step-by-step explanation:

Use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8$

m = -8

6 0

2 years ago

Which of the following is the slope of the line<br> A. -3<br> B. 1/3<br> C. -1/3<br> D. 3

Crazy boy [7]

Ask if explanation needed :)

6 0

2 years ago

Ben ran 3/10 of a mile. Shelly ran 8/10 of a mile. How many more miles did Shelly run than Ben? A) 11/10 B) 11/20 C) 5/0 D) 5/10

attashe74 [19]

Hello there! Shelly ran D) 5/10 more miles than Ben.

To find the difference between the two runner's distances, subtract the smaller distance from the greater distance.

8/10 - 3/10 = 5/10

Since there is a difference of 5/10, this means Shelly ran 5/1 more miles.

I hope this helps, & have a great rest of your day! :)

8 0

2 years ago