True or false: equilateral triangles can be classified as acute right or obtuse

Mathematics

2 answers:

yarga [219]2 years ago

7 0

Answer:

it is only acute

Step-by-step explanation:

False: equilateral triangle has 3 equal sides and 3 equal angles measure 60 degrees

sweet-ann [11.9K]2 years ago

7 0

Answer:

True

Step-by-step explanation:

In an equilateral triangle, all sides are equal in length.

That means that all the angles of the triangle will be congruent.

Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.

(180/3=60)

A right triangle must have one 90 degree angle.

An obtuse triangle must have an angle that is greater than 90 degrees.

An acute triangle's angles must all measure 89 degrees or less.

Hence, the given statement is true.

Equilateral triangles can be classified as acute.

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A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 f

kari74 [83]

Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.

Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.

We are to find the lengths of the sides of the mirror and the painting.

Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.

According to the given information, we have

$\textup{area of painting}-\textup{area of mirror}=32\\\\\Rightarrow (x+2)^2-x^2=32\\\\\Rightarrow x^2+4x+4-x^2=32\\\\\Rightarrow 4x=28\\\\\Rightarrow x=\dfrac{28}{4}\\\\\Rightarrow x=7.$