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-Dominant- [34]
3 years ago
5

I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?

Mathematics
1 answer:
podryga [215]3 years ago
5 0
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle.  the other side is called the hypotenuse which is the longest side which you should have labeled 'c'

so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out

so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11

11x+5
11(5)+5
55+5=60
side b=60

12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
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Answer:

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Step-by-step explanation:

Given

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From

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8 0
2 years ago
Which of the following must be true?
meriva

Answer:

BC < ED ⇒ answer A

Step-by-step explanation:

* Lets revise some facts in the triangle

- If one side of a triangle is longer than another side, then the angle

 opposite the longer side will be larger than the angle opposite the

 shorter side

- If one angle in a triangle is larger than another angle in a triangle,

 then the side opposite the larger angle will be longer than the side

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* Lets solve the problem

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∵ CD = 8 and BE = 8

∴ CD = BE

∵ Side BD is a common side in the two triangles

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∵ The measure 24° < the measure 30°

∴ The side opposite to the angle of measure 24° < the side opposite

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∵ The other two sides of the 2 triangles BCD and DEB are equal

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7 0
3 years ago
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Step-by-step explanation:

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5 0
2 years ago
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Serjik [45]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Math help will give brainliest<br>X is 7 but I got m angle D wrong
STatiana [176]
Answers: 
x = 7
The measure of angle D is 14 degrees

-----------------------------------------------
-----------------------------------------------

Angle C and angle D are complementary, which means they add to 90 degrees. 

(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
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So you have the correct x value. Nice work.

Now use this x value to find the measure of angle D

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