Find the area of the triangle ABC given B = 45°, a = 10, and c =sqrt2 .

5
5sqrt2
10
10sqrt2

Option A: 5 is the area of the triangle ABC

Explanation:

Given that ABC is a triangle.

Also, given that B = 45°, a = 10, and c =

We need to determine the area of the triangle ABC

The area of the triangle can be determined using the formula,

Substituting the values, we get,

Substituting the value of Sin 45, we get,

Multiplying, we have,

Simplifying, we get,

Thus, the area of the triangle ABC is 5

Therefore, Option A is the correct answer.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

your answer would be b

step-by-step explanation: