The two isosceles right-angle triangles shown in the figure are similar triangles. If the ratio of the area of the triangles is 1:3, what is x in cm?

3 \sqrt{3}

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6 \sqrt{3}

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6 \sqrt{6}

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3 \sqrt{6}

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Solution

The correct option is C $6 \sqrt{6}$

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Similar questions

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

Q. ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed in sides AC and AB. Find the ratio between the areas of