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The side of a triangles are 8cm,12cm,17cm.find its perimeter and its are by using herons formula

Novay_Z [31]

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides, that is

perimeter = 8 + 12 + 17 = 37 cm

To use Heron's formula for area (A)

A = $\sqrt{s(s-a)(s-b)(s-c)}$

where a, b and c are the lengths of sides and s the semi perimeter

s = 37 ÷ 2 = 18.5

let a = 8, b = 12 and c = 17, then

A = $\sqrt{18.5(18.5-8)(18.5-12)(18.5-17)}$

= $\sqrt{18.5(10.5)(6.5)(1.5)}$

= $\sqrt{1893.9375}$ ≈ 43.52 cm² ( to 2 dec. places )

5 0

4 years ago

Read 2 more answers

If angle A is 45 degrees and angle B is 60 degrees.

alukav5142 [94]

Answer:

(1/2)(sin(105°) +sin(345°))

Step-by-step explanation:

The relevant identity is ...

sin(α)cos(β) = (1/2)(sin(α+β) +sin(α-β))

This falls out directly from the sum and difference formulas for sine.

Here, you have α = 45° and β = 60°, so the relevant expression is ...

sin(45°)cos(60°) = (1/2)(sin(45°+60°) +sin(45°-60°)) = (1/2(sin(105°) +sin(-15°))

Recognizing that -15° has the same trig function values that 345° has, this can be written ...

sin(45°)cos(60°) = (1/2)(sin(105°) +sin(345°))

5 0

4 years ago

Wayne is hanging a string of lights 78 feet long around the three sides of his piano, which is adjacent to his house. The length

Sauron [17]

Answer:

The width is 18 feet and the length is 42 feet

Step-by-step explanation:

Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.

Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.

Hence,

$x+x+2x+6=78\\ \\4x=78-6\\ \\4x=72\\ \\x=18\ ft$