The area of right triangle is 40m2.if one of its leg measure is 8cm . find the length of the other legs
do you mean 40 cm^2 ? I will assume so
A = (1/2) b h
since it is 90 degrees, h is altitude , other leg
4 h = 40
h = 10 cm
so we still need the hypotenuse
c^2 = h^2 + b^2
= 100 + 64 = 164 =
c = 2 sqrt (41) = 12.8 cm
To find the lengths of the other legs of a right triangle given its area and one leg, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
In a right triangle, one of the legs is considered the base, and the other is considered the height. Let's assign variables to the lengths of the legs:
Base: b (known value: 8 cm)
Height: h (unknown value)
We are given that the area is 40 m². Since the measurements are in different units (cm and m), we need to convert them to the same unit before proceeding further. Let's convert 40 m² to cm²:
1 m = 100 cm
Area in cm² = 40 m² * (100 cm/m) * (100 cm/m) = 40 * 10,000 cm² = 400,000 cm²
Now we can rewrite the area formula using the converted units:
400,000 cm² = 1/2 * (8 cm) * h
Simplifying the equation:
400,000 cm² = 4 cm * h
Dividing both sides by 4 cm:
100,000 cm² = h
Therefore, the length of the other leg is 100,000 cm or 1000 m.