To learn conventions of naming sides and angles in triangles
Refer to the triangle alongside to understand the terms.
The three
sides of the triangle are called AB, AD and BD.
We often name a side in a triangle by using the small letter of the name of the opposite corner. The corners (vertices) of the triangle are named by using capital letters.
When A or
is used, it refers to the a
ngle made by side BA and side AD.
For the angle one can also say BAD or
.
But if I say A=38°, it is clear what I mean.
We refer to triangle ABD or ΔABD, writing the letters in alphabetical order.
Exercise:
To show that you understand the naming
conventions, draw the following triangle in the space
to the right:
Draw ΔQRT with q=4cm, T=65° and QT=5,5cm.
You should notice that you don’t need to be told
the length of t, nor the sizes of
or
. First
draw a rough sketch and fill the details in on that
sketch to help you plan your drawing.
Assignment:
You should already know that triangles are classified according to their shape. Make an A4–sized poster for your own use, clearly showing the characteristics of the following types of triangle: equilateral, right–angled, isosceles and scalene. Name the vertices and sides according to the conventions above. You must work as accurately and neatly as you can.
Measure the sides and the angles of your triangles and fill these measurements in on your poster.
Activity 2
To develop the principle of congruence in triangles
[LO 4.4, 3.3, 3.5]
In the previous exercise you drew ΔQTR from specifications given to you. Ask the other learners who did this exercise to show you their drawings, and check whether their triangles agree perfectly with the sizes given in the question. Measure the side and the two angles not specified, to see whether they also agree with yours.
You should find that all triangles drawn by anybody according to the instructions, are always identical. In fact, it is impossible to draw that triangle so that it is different! Write down, with a partner, why you think this is the case.
Here are more descriptions of triangles. See whether the same happens with them – in other words, that it is impossible to draw different triangles that fit the same description. Again, write down your view of each situation. The last one is quite difficult to draw – try it!
Draw ΔAGE with a=4cm, E=90° and AG=5cm.
Draw ΔNOH with HN=4cm, H=56° and O=72°.
Draw ΔBAT with B=48°, T=65° and A=67°.
Draw ΔMOD with m=5,5cm, O=65° and DM=4cm.
Draw ΔAMP with a=4,2cm, m=5cm and p=5,6cm.
In each of the above triangles, only three of the six sizes (three sides and three angles) were specified in the question. And sometimes that was enough to ensure that everyone drew identical triangles. But in ΔBAT and ΔMOD the three items were not enough to ensure identical triangles from everyone.
So, when is it enough? Maybe you have already discovered the secrets:
ΔQRT: Two sides and the angle
between them were specified.
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
