Question

d) AAS
Sides of two similar triangles are in the ratio 4:9. Corresponding medians of these triangles are in the ratio,
a) 2:3
b) 4:9
c) 81:16
d) 16:81
in a triangle if square of one side is equal to the sum of the squares of the other two sides, then the angle
please answer...​

Answer 1

Answer:

Ration of the medians for these two similar triangles will also be 4:9

If.sqaure of one side is equal to the sum of squaress of the other two sides then it is a Right Angled triangle with one angle 90 degree. This is stated by Pythagoras theorem.

Answer 2

Step-by-step explanation:

1) Given: Sides of two similar triangle are in the ratio of 4:9.

To find:The ratio of corresponding median of these triangle are ?

a) 2:3

b) 4:9

c) 81:16

d) 16:81

Solution:

Tip: If two triangles are similar than ratio of their corresponding sides are equal and equal to ratio of their corresponding medians.

Let ∆ABC and ∆PQR are similar and AM and PS are one median of respectively.

$\frac{AB}{PQ} =\frac{CB}{QR} =\frac{AC}{PR} =\frac{4}{9}$

According to theorem discussed in 'Tip';

$\frac{AB}{PQ} =\frac{CB}{QR} =\frac{AC}{PR}=\frac{AM}{PS} =\frac{4}{9}$

Option B is correct.

2) In a triangle if square of one side is equal to the sum of the squares of the other two sides, then the triangle is Right triangle.

Hypotenuse² = Base²+ Perpendicular²

Final answer:

1) Ratio of their corresponding median are 4:9.

Option B is correct.

2) Right triangle

Hope it helps you.

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