Answer:
x = 2, P = 22 cm, A = 21 cm²
Step-by-step explanation:
The 2 legs of the triangle are congruent , then
6x - 4 = 8 ( add 4 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
perimeter = 8 + 8 + 6 = 22 cm
Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 7 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²
Answer:
x = 2
Perimeter = 22 cm
Area = 21 cm²
Step-by-step explanation:
=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;
6x - 4 = 8
6x = 8 + 4
6x = 12
x = 12/6
x = 2
Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;
Side 1 + Side 2 + Side 3 = Perimeter
8 + 8 + 6 = Perimeter
22 = Perimeter
Lastly to find the Area of the triangle, follow the formula of;
A = 1/2 (b * h)
A = 1/2 (6 * 7)
A = 1/2 (42)
Area = 21
Hope this helps!