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
KatRina [158]
4 years ago
5

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JL=25 and JM=5, find KM.

Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
4 0

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

\frac{JK}{JL}=\frac{JM}{JK}\\  Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15

You might be interested in
Don't know how to do this
valentinak56 [21]
I'm afraid your equation is not correctly set up.  You need to identify the longest side of this right triangle; it is x.  This is the "hypotenuse."  Next, identify the lengths of the legs:  they are sqrt(13) and 2sqrt(2).

Here's a refresher on the Pythagorean Theorem:

(hypotenuse)^2 = (leg 1)^2 + (leg 2)^2

Applying this Theorem here,  [x]^2 = [2sqrt(2)]^2 + [sqrt(13)\^2

Solve this for x^2, and then take the positive root (only) of your result.
8 0
3 years ago
Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units. What is the value of t? 2
sasho [114]
The answer is 2 , i know it is correct i got 100%
7 0
3 years ago
Read 2 more answers
Find the probability that a randomly chosen point in the
Yakvenalex [24]

Answer:

I'me sart

Step-by-step explanation:hi

6 0
3 years ago
What do you understand by resultant of a force​
IceJOKER [234]

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

5 0
3 years ago
A boat travels at constant speed. After 20 minutes the boat had traveled 2.5 miles. How long does it take the boat to reach the
schepotkina [342]

120 minutes

Step by step:

divide 20 by 2.5 to find how many minutes it takes to drive 1 mile, then multiply that by 15 miles

7 0
4 years ago
Other questions:
  • What is the amplitude of y = 4sin3x?<br><br> 1/2<br> 2<br> 3<br> 4
    8·1 answer
  • Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
    10·1 answer
  • Which properties are necessary to claim that the two prisms are congruent? Check all that apply. The lengths of corresponding ed
    10·2 answers
  • Find the product.<br>(-3) (8)​
    5·2 answers
  • What is the ninth term of the arithmetic sequence defined by the rule below?<br> A(n)= -14+(n-1)(2)
    10·2 answers
  • Use the place value chart to write 9,000+800+50
    12·1 answer
  • The supervisor also tells you that they could arrange for you to work for a salary. Transform the formula so you can determine h
    14·1 answer
  • Which statement about this triangle is true?
    10·1 answer
  • A P E X
    8·1 answer
  • Complete the calculations so that each shows the correct sum.0.5137+1
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!