Question

In triangle DEF,angleE=90°,angleD=45°,DF=16cm find DE​

Answer 1

Answer:

11.3cm (estimate)

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Step-by-step explanation:

we will first draw the triangle to understand what we need to solve.

refer the given attachment.

now, we know that if one angle of a triangle is 90 deg, the triangle is a right triangle. in this, the hypotenuses' square = length of side 1's square + length of side 2's square.

we can say that a² + b² = c², where c² = 16cm and a²=b² because this is a right isosceles triangle because the other angle also measures 45 deg.

so, we can solve this like so:

16 x 16 = 2a²

256/2 = a²

128 = a²

a = 11.3 (estimate)