Question

area of the rhombus and area of isosceles triangle are same. length of two diagonals of rhombus are 10cm and 8cm and the base of the triangle is 5cm. find the height of the triangle.
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Answer 1

Answer:

16cm.

Step-by-step explanation:

According to the question

Area of isosceles triangle = Area of rhombus

$\frac{1}{2} \times base \times height = \frac{1}{2} \times product \: of \: digonals$

$= > \frac{1}{2} \times 5 \times height = \frac{1}{2} \times 10 \times 8$

$= > height = \frac{ \frac{1}{2} \times 10 \times 8}{ \frac{1}{2} \times 5}$

$= > height = 2 \times 8$

$= > height = 16cm$