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
maxonik [38]
2 years ago
7

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 9 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Alenkinab [10]2 years ago
5 0

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

You might be interested in
Perimeter of triangle? <br>need some help please!​
pychu [463]
You need to subtract the numbers for 180 and you will have the answer
3 0
3 years ago
Is 2 yards greater than 5 feet?
Gelneren [198K]
Hey there!

The correct answer to your question is yes.

1 yard = 3 feet

2 yards = 6 feet (since 3 x 2 = 6)

6>5

2 yards is greater.

Hope this helps you.
Have a great day!
8 0
3 years ago
Homework - Pure Year 1 - Chapter 11B
ycow [4]

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

5 0
2 years ago
Daca a/3=7/10 calculati 100a
likoan [24]
A/3=7/10
21=10a
a=2.1
100a=100*2.1=210
6 0
3 years ago
What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)
lozanna [386]

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

m=-1/4

the slope of the new line is -1/4

here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

6=-1/4(-4)+b

6=1+b

5=b

the y intercept is 5

so our equation is:

y=-1/4x+5

hope this helps! :D

4 0
3 years ago
Other questions:
  • The diagram shows rectangle ABCD on a pair of aces. The lengths of its sides are 20 units and 5 units. The coordinates of point
    8·1 answer
  • sophia started with 25 pieces of gum and gave away x pieces. Maria started with 75 pieces of gum and gave away twice as many. Ho
    15·1 answer
  • The Ocean Cleanup project estimates its 001/B system could clean up 733
    9·1 answer
  • What was the cost of full coverage insurance in female in her 50s as a percentage of the same insurance in a male in his 30s if
    6·2 answers
  • Which of the following is an open statement?
    8·1 answer
  • Pls help !!!!! i'll mark brainliest
    12·1 answer
  • In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
    13·2 answers
  • Simplify the expression to a + bi form:<br> (4 – 3i) - (9 - 71)
    15·1 answer
  • How do you find the height of a cylinder? ​
    9·2 answers
  • HELP ME!!!! PLEASE (I have Points)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!