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AleksAgata [21]
3 years ago
15

Your friend Bob makes a triangle out of a pen, a pencil, a small ruler. Using the same three school supplies, you try to make a

different triangle, but find that you cannot. The triangle that you made and the one Bob made are congruent by the ___ (SAS, SSS, AAA, SSA) postulate. As a result, ___ (all of the corresponding angles are congruent, all of the corresponding sides are congruent, all of the corresponding sides and corresponding angles are congruent) by CPCTC.
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer:

sss, all of the corresponding sides are congruent

plz mark Brainliest


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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.
Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

AC^{2} + BC^{2} = AB^{2}

AC^{2} + AD^{2} = AB^{2}      (Given that AD = BC)

AC^{2} + AD^{2} = 3^{2}      (Given that AB=3)

AC^{2} + AD^{2} = 9 ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

AD^{2} + CD^{2} = AC^{2}

AD^{2}+(\sqrt{2})^2= AC^{2}

AD^{2}+2= AC^{2}

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Plug value (ii) into (i)

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Hence final answer is AC=\sqrt{\frac{11}{2} }

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