Question

Acellus

In the triangle below,
x= [ ? ]°. Round to the nearest
tenth.
8 cm
90 degrees
10 cm

Answer 1

There is no solution for x in this triangle.

Step-by-step explanation:

In the triangle, we can use the cosine rule to find x. The cosine rule states that in a triangle with sides a, b, and c, and angle A opposite side a, the following equation holds: c^2 = a^2 + b^2 - 2abcos(A).

Applying the cosine rule to the triangle, we have:

8^2 = 10^2 + x^2 - 2(10)(x)cos(90).

Simplifying the equation gives:

64 = 100 + x^2 - 20x(0).

Since cos(90) = 0, the equation becomes:

64 = 100 + x^2.

Subtracting 100 from both sides gives:

-36 = x^2.

Since we're looking for a positive value for x, we can ignore the negative solution.

Taking the square root of both sides gives:

x = sqrt(-36).

Since the square root of a negative number is not a real number, there is no solution for x in this triangle.