The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base?
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Answer:
27 ft
Step-by-step explanation:
Given: A garden in the shape of a 45º-45º-90º triangle.
Area of triangle= 32 ft²
As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.
∴ Base and height will be equal.
Assuming base is also as "h"
Now, finding the length of base and height by using area of triangle formula.
Area of triangle=
⇒
Multiplying both side by 2
⇒
Square rooting both side, remember; √a²= a
⇒
∴ h= 8 feet
Hence, both base and height of right angle triangle is 8 feet.
Next, finding total fencing required to enclose the garden.
Perimeter of garden is equal to the amount of fencing required by Adaline.
Therefore, finding the length of hypotenous of triangle too.
Using pythogorean theoram.
, where a is the height and b is the base of triangle.
⇒
⇒
Square rooting both side
⇒
∴ h= 11.3 feet
Perimeter of garden=
⇒ Perimeter of garden=
Hence, 27 feet fencing is required to enclose the garden.