A triangle and a parallelogram have same base and same area.if the sides of the triangle are 26cm,28cm,30cm,and the parallelogram stands on the base 28cm , find the height of parallelogram?

Question

Answer

Answer

S=28+26+30/2=84/2= 42
using heron's formula
under root s (s-a)(s-b)(s-c)
under root 42 (14)(16)(12)
336
area of parallelogram = 336 = b×h
28×h =336
336/8=h
12=h
hence the height of the parallelogram is 12cm

hope it helps u. ...

Answer

Plzzz answer this statement

Answer

A=26cm b=28cm and c=30cm
s=a+b+c/2=26+28+30/2=84/2=42cm

area of ∆=√(S) (S-A) (S-B) (S-C)

=√(42) (42-26)(42-28)(42-30)

=√(42)(14)(16)(12)

=√2²×2²×2²×2²×3²×7²

=2×2×2×2×3×7

=336cm²

Area of parallelogram=Area of triangle

BASE×HEIGHT=336

therefore HEIGHT of Parallelogram is 12cm

Answer

Given:
- Triangle sides: 26cm, 28cm, 30cm
- Parallelogram base: 28cm
- Triangle and parallelogram have the same area

To find:
- Height of the parallelogram

Explanation:
To solve this problem, we will use the formula for the area of a triangle and the area of a parallelogram.

Area of a Triangle:
The area of a triangle can be calculated using the formula:
Area = (base * height) / 2

Area of a Parallelogram:
The area of a parallelogram can be calculated using the formula:
Area = base * height

Since the triangle and parallelogram have the same base and the same area, we can equate their formulas and solve for the height of the parallelogram.

Step 1:
Let's calculate the area of the triangle using the given side lengths.
Area of the triangle = (26 * 28) / 2 = 364 square cm

Step 2:
Now, let's equate the area of the triangle to the area of the parallelogram and solve for the height of the parallelogram.
364 = 28 * height

Step 3:
To find the height, divide both sides of the equation by the base (28).
height = 364 / 28 = 13 cm

Answer:
The height of the parallelogram is 13 cm.

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