The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.

Step-by-step explanation:

Given

Shape: Triangle

Required

Determine the height

Area of a triangle is calculated as:

Substitute values for Area and Base

Multiply both sides by 4

Hence, the height is 40cm

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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