1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
STatiana [176]
3 years ago
12

The perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle

Mathematics
2 answers:
wariber [46]3 years ago
7 0

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

maria [59]3 years ago
5 0

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

<u>Sides of triangle:</u>

  • a, b, c

<u>Perimeter:</u>

  • P= a+b+c = 30

<u>Area:</u>

  • 1/2ab = 30 ⇒ ab = 60

<u>As per Pythagorean theorem, side c= √(a²+b²):</u>

  • a+b+c = 30
  • a+b+ √(a²+b²) = 30
  • a+b - 30= - √(a²+b²)
  • (a+b - 30)²= (- √(a²+b²))²
  • a²+b²+900 + 2ab - 60a - 60b = a²+b²

<u>Considering ab = 60</u>

  • 900+120=60a+60b ⇒ a+b = 17

<u>Again using ab= 60 to find out sides:</u>

  • ab=60
  • a(17-a)= 60
  • 17a - a² -60 = 0
  • a² -17 a +60= 0

<u>Solving the quadratic equation, its positive root is:</u>

  • a= 12

<u>Then we get the rest:</u>

  • b = 17 - 12= 5
  • c= 30 -17 = 13
You might be interested in
2x+1 divided by 8x^3+18x^2+11x+2
yuradex [85]

Answer:

1/4x^2+7x+2

Step-by-step explanation:

hope this helps

8 0
2 years ago
What's the product of 12.34•0•74.91 ?
Eduardwww [97]
Because there is a zero in the expression 12.34 * 0 * 74.91 the product is 0.
4 0
3 years ago
Read 2 more answers
Which of the following is the quotient of the rational expressions shown
Natali5045456 [20]

Answer:

2x^3/x+5/x-5/ 3x-1

2x^3/ 3x-1

Step-by-step explanation:

we can cut plus and minus sign

3 0
3 years ago
Read 2 more answers
Here’s for my last question, there is no 0.85 so here is the screenshot ;-;
guapka [62]

Answer:

Step-by-step explanation:

first you multiply 6.5 and 12 to get 78 flowers

then you divide 78 by 68.25 to get the cost of one flower which is $1.14

then you mark me brainliest plz

4 0
3 years ago
Read 2 more answers
A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base and H is the height of the pyramid

we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

V=70\ units^{3}

substitute in the formula and solve for h

70=(35)h

h=2\ units

3 0
3 years ago
Read 2 more answers
Other questions:
  • Two cars leave from the same point at the same time, one traveling east and the other traveling west.
    11·1 answer
  • What is the value of the 5 in 15,406
    8·2 answers
  • What is the range of the discrete finite function?
    8·1 answer
  • What percent of 600 is 12
    8·1 answer
  • What is the vertex of the following parabola?
    13·1 answer
  • Between the numbers 15/20 and 35/40 , the greater number is<br> a. 15/20 b. 20/15 c. 35/40 d. 45/30
    8·2 answers
  • Can you help me find the measure of angle B plss
    11·1 answer
  • Solve this for me plzzzz and thxxx
    14·2 answers
  • -3x^2+6x=0. Find the value of x.
    8·1 answer
  • Make 2 sets of data 8 numbers each between 1 and 25. Then calculate the median and IQR for each data set.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!