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3 years ago

How many unique triangles can be made when one angle measures 90° and another angle is half that measure?

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

Infinite number

Step-by-step explanation:

we know that

If one angle is 90°, and another half of that, then it must be 45° and so the third angle is also 45°. (The sum of the internal angles of a triangle must be equal to 180 degrees)

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

therefore

There is an infinite number of unique triangle with these angles.

You might be interested in

How many terms are in the expression 6w- 3x+9y- 8z+ 12

kirill [66]

Answer:

Step-by-step explanation:

<u>Definition of term:</u>

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

6w- 3x+9y- 8z+ 12

6w - 3x +9y - 8z + 12

Hope this helps, have a nice day! :D

8 0

2 years ago

Someone please help me with my long division homework in return I will answer Spanish questions

stiks02 [169]

The answer is 345 :) hope this helps u

4 0

3 years ago

Read 2 more answers

Please please help me please help please please help me please help please

AVprozaik [17]

Answer:

Perimeter is 17.07

Step-by-step explanation:

We know that DF = EF = 5 cm, since D and E are the midpoints of AC and AB, both of which are 10 cm in length.

We need to use the Pythagorean theorem to get the length of DE.

$DE = \sqrt{5^{2} +5^{2}}=\sqrt{50} = 7.07\\$

So the perimeter of DEF is 5 + 5 + 7.07 = 17.07

5 0

3 years ago

Convert to exponential form: log 1000=3

Luden [163]

$\log_a b=c \hbox{ if } a^c=b \\ \\
\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}
$

8 0

3 years ago

(1.1.8 in the book) Let P be the proposition ’I bought a lottery ticket this weekend’ and Q be the proposition ’I won the millio

Karolina [17]

Answer:

~ is for negation

^ is for "and"

v is for "or"

=> for "if then"

<=> for "if and only if"

Step-by-step explanation:

(a) ~P (negation of P)

I didn't buy a lottery ticket this weekend.

(b) P v Q (P is in disjunction Q)

I have either bought a lottery ticket this weekend or won the million dollar jackpot.

I won the million dollar jackpot because I bought a lottery ticket this weekend.

(d) P ^ Q (P is in conjunction with Q)

I bought a lottery ticket this weekend, and I won the million dollar jackpot.

(e) P <=> Q (P and Q are dependent on each other)

If only I had bought a lottery ticket this weekend, I would have won the million dollar jackpot.

(f) ~P => ~Q (negation of Q is a consequence of negation of P)

I didn't win the million dollar jackpot because I didn't buy a lottery ticket this weekend.

(g) ~P ^ ~Q (negation of P is in conjunction with negation of Q)

I neither bought a lottery ticket this weekend nor won the million dollar jackpot.

(h) ~P v (P ^ Q)

This is logically equivalent to (~P v P) ^ (~P v Q) (negation of P is in disjunction with P, and also with disjunction with Q), and can be best expressed as:

It didn't matter that I bought a jackpot ticket or not, I won the million dollar jackpot.

8 0

4 years ago