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
erastovalidia [21]
2 years ago
13

the ratio of an equal side of an isosceles triangle to it's base is 3:4 and it's perimeter is 60 cm. find its area.​

Mathematics
1 answer:
Ann [662]2 years ago
5 0

Answer:

160.10 (2 dp.)

Step-by-step explanation:

So when you have ratio questions, similar to this one, you should always add up the parts.

This question actually involves many steps.

We are trying to find the length of all the sides first, we already know that the 3 sides add up to 60cm.

The triangle is made up of 3:3:4, as it has two equal sides and one base. The total parts is 3 + 3 + 4 = 10.

To find how much one part is. we divide the perimeter by the total parts

60/10 = 6

If one part equals 6, then we just multiply by the number of parts to find the entire length, this means that the sides equal 6 x 3 = 18 and the base is

6 x 4 = 24.

Now, we need to find the height in order to find the area of the triangle, to find the height we will be using Pythagoras theorem.

Pythagoras theorem states that a^2 + b^2 = c^2

If we split the triangle in half down the middle, we have a right angle triangle, we know the length of hypotenuse and one side.

The hypotenuse would be one of the equal sides of the isosceles triangle, which is 18cm, and the other side would be half of the base which is 24/2 = 12cm , as we are splitting the isosceles triangle down the middle.

Now we can use the theorem to find the height:

a = height

b = 12

c = 18

Formula:

h^2 + 12^2 = 18^2

rearrange and simplify:

18^2 - 12^2 = h^2

324 - 144 = h^2

180 = h^2

h = root 180 (we will leave this as a surd as it is not a perfect square)

Now that we know the height we can find the area, the formula of a triangle is half x base x height:

1/2 x 24 x root 180

= 160.10 (2 dp.)

Hope this helps,

Cate

You might be interested in
If the product of two rational numbers is (-9/16) and one of them is (-4/15) find the other number.​
ololo11 [35]

Given:

  • The product of two numbers is (-9/16).
  • One of the numbers is (-4/15)

To find: The other number.

Answer:

Let's assume the unknown number to be 'x'.

(-4/15) × x = (-9/16)

× = (-9/16) ÷ (-4/15)

When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.

x = (-9/16) × (-15/4)

x = 135/64

Therefore, the other number is 135/64.

Hope it helps. :)

8 0
3 years ago
Shawna lives in an apartment 9 4/5 miles from the hospital where she works. Her brother rents a room in a house 7 2/5 miles from
tamaranim1 [39]

Answer:

2 2/5 miles

Step-by-step explanation:

6 0
2 years ago
Jamie has a square mirror with side lengths of 6 inches.
Sophie [7]
Are we supposed to find the area? If so, It's 36 because 6 times 6 equals 36 :p Hope I helped.
8 0
3 years ago
Read 2 more answers
What continues the pattern for 7 16 8 27 9
Butoxors [25]
38 10 49 11 60 12..
How
27 - 16 = 11
8 - 7 = 1
So for each small number add 1 ad for the big add 11
6 0
3 years ago
A box of Great Value crackers is $1.97 and contains 27 servings. What is the price per EACH serving?
nlexa [21]
.07 dollars or 7 cents
4 0
2 years ago
Other questions:
  • What is the volume of the rectangular<br> pyramid shown?<br> 22 yd.<br> 20 yd<br> 15 yd
    14·1 answer
  • 99.7 of all newborn babies in the United States weigh between
    5·2 answers
  • What is the cube root of 512m^12n15
    10·2 answers
  • If the diameter of a circle has endpoints A (7,2) and B (-1,8), where is the center?
    8·2 answers
  • (The choices for the first one is 90 or 180)
    15·2 answers
  • Are 18:3 and 6:1 equivalent radios?
    7·2 answers
  • Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.
    7·1 answer
  • Y= x +2<br> x^2 +y^2=10<br><br> solve using any method
    6·2 answers
  • What number is 20% of 40?
    15·2 answers
  • Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!