4 years ago

What is the perimeter of triangle DEF?

Mathematics

1 answer:

Mrac [35]4 years ago

4 0

Answer:

(4.2 units)

Step-by-step explanation:

By inspection of the illustration we can see that leg DE has length 3 and that leg DF also has length 3. By the Pythagorean Theorem, 3^2 + 3^2 = 2(3^2); thus, the length of the hypotenuse EF is 3√2, or approximately 4.24 units. The third answer choice (4.2 units) is the correct one.

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Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute

Aleksandr [31]

Answer:

Step-by-step explanation:

Given: △ABC, BC>AC, D∈ AC , CD=CB

To prove: m∠ABD is acute

Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.

Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)

In ΔBDC, using the exterior angle property,

∠ADB=∠DBC+∠BCD

∠ADB=∠DBC+∠BCA