Pls helpp im failing
1 answer:
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Answer:
<u>Step-by-step explanation:</u>
Perimeter is the sum of the sides.
The length of AB is 3. The length of AC is 6. The length of BC can be found by using the Pythagorean Theorem: a² + b² = c²
3² + 6² = BC²
9 + 36 = BC²
45 = BC²
√45 = BC
3√5 = BC
Perimeter = AB + AC + BC
= 3 + 6 + 3√5
= 9 + 3√5
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.