Question

the area of two similar triangles is 16 cm square and 25 CM square respectively find the ratio of their corresponding altitudes

Answer 1

Answer:

The required answer is $4:5$

Step-by-step explanation:

Given: the area of two similar triangles is 16 cm square and 25 CM square.

To find: their corresponding altitudes in proportion.

Solution:

the area of two similar triangles is $16cm^{2}$ and $25 cm^{2}$

By the property of area of two similar triangles,

$(Ratio of their corresponding altitudes)^{2}$=Ratio of area of both triangles

Ratio of their corresponding altitudes=$(\frac{16}{25})^{\frac{1}{2}}$

Ratio of their corresponding altitudes=$4:5$

Hence,  ratio of their corresponding altitude is $4:5$

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