Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that

Answer: Angle (B) is Congruent to Angle (C)

Hope it helps

6 0

3 years ago

Find the value of x in the triangle shown below. a. x=21 b. x=42 c. x= 15 d. x=21

elena55 [62]

THEOREM:

Pythagorean theorem:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

x² = 12² + 9²
x² = 144 + 81
x² = 225
x = √225
x = 15 units.

So, Correct choice - [C] 15 units.

7 0

3 years ago

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