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
serg [7]
3 years ago
10

An isosceles triangle has

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

The area of an isoceles triangle is:

A = base x height / 2

The base is the unequal side in the isosceles triangle.  You have to calculate the height using the Pythagorean Theorem.

Since two side are equal in length, if you draw a vertical lined from where these two sides meet and bisect the base, you will create two right triangles.

So a² + b² = c² where c is the hypotenuse of the right triangle.  This hypotenuse is also the two equal sides of the isosceles triangle.  They told you the length of the base but you need to divide that in half since your line bisected the base.

So now you know one side of the right triangle is 8cm which is half of 16cm.  You also know the hypotenuse is 17cm.  Solve the Pythagorean Theorem for the other side and that will give you the height of your bisecting line.

8² + b² = 17²  OR  64 + b² = 289

Solve for b

b² = 289 - 64  OR  b² = 225  and finally    b = \sqrt{ 225  which is 15

So now you can calculate the area of the triangle:

A = 16 x 15 / 2   or   240 / 2  which is   120

So the area is 120 cm²

You might be interested in
Simplify 16^-4 by making the exponent positive
Scorpion4ik [409]
Whenever we have a negative exponent, that means that the function should be in the denomenator. then the exponent will be positive.

Example

16^-4 = 1/(16^4)
8 0
3 years ago
Mae Ling earns a weekly salary of $310 plus a 6.5% commission on sales at a gift shop. How much would
Kryger [21]

Answer:

$325

Step-by-step explanation:

Mae Ling earns a weekly salary of $325 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?

7 0
3 years ago
Read 2 more answers
Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper
Sliva [168]

Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

P = 12*2 = 24

To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

I=\frac{\$ 71,000}{24} \\I=\$ 2,958.33

Jasper's gross income per paycheck is $2,958.33.

3 0
3 years ago
The least common denominator of 1/3, 5/8, and 1/2 is:
andrey2020 [161]

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

8 0
3 years ago
Rewrite the expression by combining like terms.<br> 3xy + 8x^2+ 4y + 2y - 5x^2
Lelu [443]

Answer:

3x^2 + 3xy + 6y

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Jenny's weight is 65kg. 1stone=14 pounds. what is jenny's weight in stonesand pounds​
    13·1 answer
  • Please simplify (2x^5)^3.
    9·1 answer
  • 8 • 10 exponent 9 ÷ 1.2 • 10 exponent 6
    13·1 answer
  • Evaluate the expression -5|k+3| for k=-11
    11·1 answer
  • A car travels 2.5 hours in a northerly Direction for 300 KM. what is the speed and velocity
    6·1 answer
  • Hey I need some help
    14·2 answers
  • One of the solutions to the equation x² - 5x-24 = 0 is 8. What is the other solution?​
    5·2 answers
  • 4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is
    13·1 answer
  • Pierre deposits $8,000 in a certificate of deposit that pays 8% interest, compounded semiannually. How much interest does the ac
    8·1 answer
  • Complete the proof that △TUV~△TSU.<br> T<br> U<br> V<br> S
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!