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4 years ago

I need some help on this. Anyone know how to do this ?????

Mathematics

1 answer:

melisa1 [442]4 years ago

7 0

S:side
hyp:hypotenuse(side facing 90°)

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Identify the three similar right triangles in the given diagram.

irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0

3 years ago

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.

VARVARA [1.3K]

Answer:

166.67 is answer of this question

7 0

3 years ago

Two angles in a triangle have measures of 23 and 98 what is the third measure of the third angle

Feliz [49]

Answer:

Step-by-step explanation:

As far as I know every triangle has to equal 180°

So if you add 98+23 you would get 121

subtract that from 180 and get 59

Hope this helps!

5 0

3 years ago

Read 2 more answers

I need help with this please

Ivan

The answer to this question is c=-6

6 0

3 years ago

The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triang

weqwewe [10]

Answer:

Obtuse

Step-by-step explanation:

You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle.
you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If $c^{2}$ = $a^{2} +b^{2}$ then it is a right triangle. If $c^{2} >a^{2} + b^{2}$ then it is an obtuse triangle. if $c^{2} < a^{2} +b^{2}$ then it is an acute triangle.

$10^{2}$ _ $3^{2} + 8^{2}$
9+64_100
70_100
70<100

in this case $c^{2}$ is greater than $a^{2} +b^{2}$ therefore, is it an obtuse triangle.

3 0

3 years ago