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kipiarov [429]
3 years ago
14

My friend needed help with this and I found the height through the theorem but can't figure out how to get the base of the overa

ll triangle

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

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Y= -2x - 3 <br> y= 7x + 6 solve by elimination
tatiyna

Answer:

x = y = - 1

Step-by-step explanation:

y = - 2x - 3

y = 7x + 6 -----> equation 1.

So,

7x + 6 = - 2x - 3

7x + 2x = - 3 - 6

9x = - 9

Divide 9 on both sides,

9x / 9 = - 9 / 9

x = - 1

Substitute x = - 1 in equation 1,

y = 7x + 6

  = 7 ( - 1 ) + 6

  = - 7 + 6

  = 6 - 7

y = - 1

Therefore,

x = y = - 1

3 0
2 years ago
Read 2 more answers
What theorem or postulate can be used to justify that the two triangles are congruent? Write a congruence statement.
Alinara [238K]

B

ASA is short for angle side angle, which you can see from angle B and angle D being congruent (all right angles are congruent), the congruent marks on line BE and line ED, and the vertical angles AEB and DEC.

D is not the answer because B and D are not in the same 'place' when naming. Silly as it is, it counts.

Hope this helps!

6 0
3 years ago
What is the corresponding index of the random matrix of 7 criteria for checking consistency of random judgment?
Ymorist [56]

A. 0.58  is the corresponding index of the random matrix of 7 criteria for checking the consistency of random judgment.

In probability theory and mathematical physics, a random matrix is ​​a matrix-valued random variable. H. A matrix whose elements are some or all random variables. Many important properties of physical systems can be represented mathematically as matrix problems.

In probability theory and mathematical physics, a random matrix is ​​a matrix-valued random variable. That is, a matrix whose elements are some or all random variables. Many important properties of physical systems can be represented mathematically as matrix problems.

Learn more about matrix  here: brainly.com/question/2456804

#SPJ4

7 0
2 years ago
A triangle has angles measuring 10 degrees, 40 degrees and 130 degrees with side lengths of 23 cm, 84 cm and 100 cm. Classify th
AnnyKZ [126]

Answer:

<u>The correct answer is D. obtuse scalene</u>

Step-by-step explanation:

1. Let's recall that a equilateral triangle has its three sides of the same length. An equilateral triangle is always equiangular. This is not our given triangle.

2. Let's recall that an isosceles triangle has two sides of the same length. This is not our given triangle.

<u>3. Finally, let's recall that in a scalene triangle, none of the sides are the same length. And if one of the given angles is greater than a right angle, measures more than 90 degrees, it is an obtuse triangle. This is our given triangle.</u>

<u>The correct answer is D. obtuse scalene.</u>

8 0
4 years ago
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is
Ray Of Light [21]

Let a = Imani's weekly allownace

She spent half of her allowance, so she has half it left = a/2.  She got $4 more from washing the car, so she has a/2 + 4 dollars which totals $12:

a/2 + $4 = $12

a/2 = $8

Solve for a.

4 0
4 years ago
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