Answered

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Base of a triangle is 9 and height is 5. Base of another triangle is 10 and height
is 6. Find the ratio of areas of these triangles.

Sagot :

Answer:

ratio of areas = 3 : 4

Step-by-step explanation:

The area (A) of a triangle is calculated as

• A = [tex]\frac{1}{2}[/tex] × base × height

given base = 9 and height = 5 , then

A = [tex]\frac{1}{2}[/tex] × 9 × 5 = [tex]\frac{1}{2}[/tex] × 45 = 22.5 units²

given the other triangle has base = 10 and height = 6 , then

A = [tex]\frac{1}{2}[/tex] × 10 × 6 = [tex]\frac{1}{2}[/tex] × 60 = 30 units²

ratio of areas of the two triangles

= 22.5 : 30 ( divide both parts by 7.5 )

= 3 : 4 ← in simplest form

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