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3 years ago

State the third congruent part to prove the two triangles congruent by SSS. Write the triangle congruence statement

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

Answer:

ΔCBA ≅ ΔDEF

Step-by-step explanation:

The question in text and on the picture are different.

Going by picture.

When stating the congruence, it is important to stick to right order of vertices.

The first triangle is ΔCBA

Corresponding angles are:

∠C ≅ ∠D, ∠B ≅ ∠E, ∠A ≅ ∠ F

Therefore the second triangle is:

ΔDEF

Evgen [1.6K]3 years ago

6 0

The answer is DEF

Step-by-step explanation:

When stating congruence and similarity, I prefer going by the angles than the sides. Angles are much easier~

So, given, <A = <F
<B = <E
<C = <D

Thus, CBA is congruent to DEF

Hope this helps :)

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Find the area of the following figure:

stellarik [79]

Answer:

12m

Step-by-step explanation:

You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)

Area= 1/2 * 4 (6)

Area = 2(6)

Area = 12m

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3 years ago

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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3 years ago

If Steve's age is decreased by 12 years, and that difference is multiplied by 3, the result is 24 years. Find Steve's age.

kumpel [21]

Answer:

20 years old.

Step-by-step explanation:

Go backwards in the equation.

24/3 = 8

8+12

= 20

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3 years ago

What is the awsner to (-6)(8) + (-11)

Nat2105 [25]

Answer:

-59

Step-by-step explanation:

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3 years ago

Read 2 more answers

Which number could be added to

Arturiano [62]

The number which could be added to both sides of the equation to complete the square is; -2.25.

<h3>Which number could be added to both sides of this quadratic equation to complete the square?</h3>

The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;

1 - 2.25 = (x -3/2)² - 2.25

Hence, the number which should be added to both sides of the equation is; -2.25.

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2 years ago