Question

What is value of x?



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x =

A triangle with vertices labeled as A, B, and C. Side B C is the base. A line segment is drawn from vertex A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as 8. Side A C is labeled as 12. Side B C is divided into two equal parts labeled as x plus 4 and 2 x plus 1.

Answer 1

Answer:

The answer is 10

Step-by-step explanation:

I recently took the test. I honestly can't remember all my notes so all I can give you is the answer. Hope that's alright.

Answer 2

Hence, The answer is 9.60 cm

GIVEN

triangle with vertices labeled as A, B, and C. Side B C is the base. A line segment is drawn from vertex A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as 8. Side A C is labeled as 12. Side B C is divided into two equal parts labeled as x plus 4 and 2 x plus 1.

TO FIND

value of x

SOLUTION

The above problem can be simply solved as follows;

According to the question

Height = x + 8

Base = 10 + 14 = 24 cm

Hypotenuse = 2x - 5

Applying pythagorus theorem

(2x - 5)² = (x + 8)² + 24²

4x² + 25 - 10x = x² + 16x + 64 + 576

Simplifying;

3x² - 4x - 315 = 0

x = 9.60 cm

Hence, The answer is 9.60 cm

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