Question

Please help I don’t know how to solve these... can anyone explain? I’m desperate

Answer 1

1.) 16.5

2.) 24.2 ft

3.) 10.8 ft

Explanation:

1.) So first you need to use Heron's formula

S = (A + B + C)/2

So

S = (17 + 17 + 8)/2

S = 21

Now

Area =
`√(S(S - A)(S-B)(S-C))`

So

`√(21(21-17)(21-17)(21-8))`

So the Area is equal to 66.1

Now to find the height we use the Area of the triangle formula

A = 1/2 B*H

66.1 = 1/2(8) * H

66.1 = 4H

H = 16.525

So the height of the triangle is 16.5 units tall

2.) For this question you just use the Pythagorean theorem.

a² + b² = c²

So 22² + 8² = c²

484 + 64 = c²

548 = c²

`√(584)` = c

c = 24.1660919472 ft

So the length of the wire is 24.2 ft long

3.) Again this is the Pythagorean theorem.

a² + b² = c²

So 10² + 4² = c²

100 + 16 = c²

116 = c²

`√(116)` = c

c = 10.7703296143 ft

So the length of the banner is 10.8 ft long