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What is the ratio of the heights of two isosceles triangles which have equal vertical angles and of which the areas are in the ratio of 9/16 a 1/2 b 4 5 C 2 3 D 3 4?

What is the ratio of the heights of two isosceles triangles which have equal vertical angles and of which the areas are in the ratio of 9/16 a 1/2 b 4 5 C 2 3 D 3 4?

Two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 16. then the ratio of their corresponding heights is. Description for Correct answer: If two isosceles triangles have equal vertical angles then both triangles are similar.

What is the ratio of areas of two triangles having equal bases and equal heights?

Ratio of areas of two triangles with equal height is 2 : 3 .

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What is the ratio of heights of two isosceles triangle?

The ratio of their corresponding heights is 4 : 5.

What is the ratio of area of these two triangles?

The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Are 2 isosceles triangles always similar?

Explanation: For two triangles to be similar the angles in one triangle must have the same values as the angles in the other triangle. Hence it is not always true that isosceles triangles are similar.

Does an isosceles triangle have equal sides?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

How do you find the ratio of an isosceles triangle?

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In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. To find the ratio number of the hypotenuse h, we have, according to the Pythagorean theorem, h2 = 12 + 12 = 2.

What is area ratio Theorem?

Area Theorem : The ratio of areas of two similar triangles is equal to the squares of the ratio of their corresponding sides.

Are all 30 60 90 triangles similar?

Triangles with the same degree measures are similar and their sides will be in the same ratio to each other. This means that all 30-60-90 triangles are similar, and we can use this information to solve problems using the similarity.