What Am I - using what you know about triangles, find my missing
measurement and then tell me
my first and last name. First name,
acute, obtuse and righte Last name,
Scalene, isosceles, equilateral.
1) One angle is 82 degrees, the other is
75 degrees, What is my missing angle?
What is
my first and last name?

Hi there!

The missing angle is 23 degrees.

Remember every triangle has 180 degrees no matter what type. So you add 75 and 82 and subtract it from 180 giving you 23.

The first name is acute and the last name is scalene.

A acute triangle is when all angles are less than 90 and an obtuse triangle is when there is 1 obtuse angle and 2 acute angles.

Hope this helps !

  6 +2√3 ft²

Step-by-step explanation:

Given a triangular pyramid with ...

an equilateral triangular baselateral edge length 2 ftlateral area 6 ft²

Find

total surface area

Solution

Since corresponding edges are the same length, the area of each of the three faces is (6 ft²)/3 = 2 ft². This can be computed by ...

  A = (1/2)s²·sin(α)

where s is the lateral edge length and α is the angle at the apex formed by the two edges that meet there. Filling in the given values, we find ...

  2 ft² = (1/2)(2 ft)²·sin(α)

  1 = sin(α)   ⇒   α = 90°

That is, each face of the pyramid is an isosceles right triangle with legs of length 2 ft. The hypotenuse of that triangle, the base edge of the pyramid, is then 2√2 ft.

So, the base is an equilateral triangle with edge lengths 2√2 ft. Its area can be computed from ...

  A = (√3)/4·s²

where s is the edge length of the equilateral triangle. That is, the base area is ...

  A = (√3)/4·(2√2)² = 2√3 . . . . square feet

So, the total surface area of the pyramid is ...

  (6 +2√3) ft² ≈ 9.4641 ft² . . . . . total surface area