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PilotLPTM [1.2K]
3 years ago
15

"Which triangle can be proven congruent to ABC using the ASA criterion?.

Mathematics
2 answers:
Virty [35]3 years ago
4 0
ABC is congruent to XYZ using ASA since angle A is congruent with angle X, angle B is congruent with angle Y, and side AB is congruent with side XY
alekssr [168]3 years ago
3 0

Answer:  \triangle{XYZ}

Step-by-step explanation:

The ASA postulate of congruence says that two triangles are said to be congruent if two corresponding angles and the side in between are congruent.

When we look at  \triangle{ABC}, it can be seen that segment AB is the included side in between ∠A and ∠B.

The only triangle that has a segment with measure 5 lies between two corresponding congruent angles is \triangle{XYZ}.

Hence, by ASA postulate

\triangle{XYZ}\cong\triangle{ABC}

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Step-by-step explanation:

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3 years ago
Maddie swims the hundred meter freestyle in 30 seconds what is her average speed in meters per minute​
Naily [24]
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3 years ago
Find the area of the isosceles triangle. please help thanks
fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

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Area = 1/2 b * h

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Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

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