Answer: verdadero.
Step-by-step explanation:
En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.
Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.
Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.
Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.
First, let's list the lengths of the sides in descending order.
Lengths of sides of quadrilateral ABCD: 20, 18, 14, a
Lengths of sides of quadrilateral EFGH: b, c, 6, 5
From the listings above, we see that he sides measuring 14 and 6 are corresponding.
We are looking for c which corresponds to 18.
14 is to 6 is as 18 is to c
14/6 = 18/c
7/3 = 18/c
7c = 3 * 18
7c = 54
c = 54/7 = 7 5/7
Answer: 7 5/7 feet
Answer:
502 m²
Step-by-step explanation:
We require to find b before calculating the surface area.
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height )
Here V = 510, l = b, b = 10 and h = 3, thus
b × 10 × 3 = 510
30b = 510 ( divide both sides by 30 )
b = 17
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The opposite faces of a cuboid are congruent, thus
top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²
front/back area = 2(17 × 3) = 2 × 51 = 102 m²
sides area = 2(10 × 3) = 2 × 30 = 60 m²
Surface area = 340 + 102 + 60 = 502 m²
