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emmainna [20.7K]
1 year ago
9

In triangle ABC measure of angle A equals 45°. The altitude divides the side AB into two parts of 20 and 21 units. Find BC.

Mathematics
1 answer:
Nat2105 [25]1 year ago
4 0

In triangle  ABC, BC = 29 units.

Given,

In Δ ABC, ∠A = 45°.

A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.

Let altitude meet AB on D.

So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°

In ΔADC,

tan A = DC/AD

tan 45° = DC/20

          1 = DC/20

      DC = 20 units

In ΔBDC,

BC² = BD² + DC²     (Pythagorean Theorem)

      = 21²  + 20²

      = 441 + 400

      = 841

BC  = √841

      = 29  

Hence, BC = 29 units.

To learn more about triangle here  

brainly.com/question/2272632

#SPJ1

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see below

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4 0
3 years ago
Read 2 more answers
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D
Igoryamba

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

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3 years ago
It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio
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You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not  work in the original given equation.

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression (Option D).

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2 years ago
What is the sum of adding two opposites together? *
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Answer:

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