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Sidana [21]
3 years ago
6

The perimeter of a right triangle is 25 meters, and the area is 20 square meters. The lengths of the sides are each multiplied b

y 3. What is the area of the new triangle? Please help me, not by just giving me the answer, but by explaining how I solve this so I can solve it on my own. Thanks :)
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
The Heron's formula for calculating area is
S=√p(p-a)(p-b)(p-c)
where
p is perimiter divided into 2
p=(a+b+c)/2
Then length of each side is multiplyed into 3
New p is bigger than old by three times
p=3(a+b+c)/2  
S=√3p*3(p-a)*3(p-b)*3(p-c)=9√p(p-a)(p-b)(p-c)
Area of new triangle are bigger than area of old triangle by 9 times.
S=20*9=180 square meters
Area of new triangle is 180 square meters.

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Harlamova29_29 [7]
4% of the 200 pills failed to retain full potency after 60 days.
8 0
3 years ago
What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
nevsk [136]

Answer:

946.4\ m

Step-by-step explanation:

Let

h(t) ---> the height of an object in meters

t ----> the time in seconds

we have

h(t)=-2.6t^2+40t+800

For t=6 sec

substitute in the quadratic equation  the value of t and solve for h

h(6)=-2.6(6)^2+40(6)+800

h(6)=946.4\ m

4 0
3 years ago
Eric reflected parallelogram ABCD across the x-axis. If angle A is 125° and angle B is 55°, what is the degree measurement of an
Sauron [17]
The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)

m\angle A'=125\°
7 0
4 years ago
A triangle can have at most ________ right angle.
andrey2020 [161]
A triangle can only have at most one right angle.

Here's a proof that shows why this is so:

We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C

A + B + C = 180

Let's show that having two right angles is impossible

Let A = B = 90

90 + 90 + C = 180

180 + C = 180

Subtract 180 from both sides

C = 0

We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.

Let's try to show that it's impossible to have 3 right angles

Let A = B = C = 90

90 + 90 + 90 = 180 ?

270 ≠ 180

Thus it's impossible to have 3 right angles as well.

Let's show that is possible to have 1 right angle

Let A = 90

90 + B + C = 180

Subtract both sides by 90

B + C = 90

There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.

Have an awesome day! :)
3 0
3 years ago
How to find the missing lengths and angles of a triangle
Vikki [24]
Add every side up and then subtract it by 180
5 0
4 years ago
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