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1 year ago

I WILL AWARD BRAINLIEST!! PLEASE HELP!!

Mathematics

1 answer:

MrRa [10]1 year ago

6 0

Answer:

1) By SAS theorem, ΔADE≅ΔCDF

2) By SSS theorem, ΔBDE≅ΔBDF

Step-by-step explanation:

Consider isosceles triangle ABC (see diagram).

1. In triangles ADE and CDF:

AD≅DC (since BD is median, then it divides side AC in two congruent parts);

AE≅CF (given);

∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).

By SAS theorem, ΔADE≅ΔCDF.

2. In triangles BDE and BDF:

side BD is common;

DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);

BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).

Be SSS theorem, ΔBDE≅ΔBDF.

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11.29 grams of strontium-90 were present in the original rock sample in 1933.

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Answer:

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Step-by-step explanation:

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