Answer:
5, 12, 13
Step-by-step explanation:
Pythagoras theorem ⇒ Perpendicular² + Base² = Hypotenuse²
5² + 12² = 13²
25 + 144 = 169
Thus 5, 12, 13 is a Pythagorean triple.
Answer:
a-50 b-300
Step-by-step explanation:
Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
__
The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
3/10 times 2/3 3 times 2 is 5 and 10 times 3 is 30 5/30 a
Answer:
20, 35, 50
Step-by-step explanation: