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Use Pythagoras to find the perpendicular height of the triangle:

132-52 = 144 and the square root of this is the height of the triangle which is 12 cm

Area = 1/2*12*10 = 60 square cm

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Q: How do you find the area of an isosceles triangle with a base of length 10 cm and congruent sides of length 13 cm?
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Related questions

What is the length of the sides of an isosceles triangle?

The length of the sides of an isosceles triangle are not set in stone. An isosceles triangle is defined as a triangle with at least two congruent sides. Equilateral triangles; that is, triangles in which all sides are of equal length are also considered to be isosceles triangles. Therefore, as long as at least two sides of the triangle are congruent, (Of equal length) said triangle is an isosceles triangle.


What does an isosceles triangle have?

An isosceles triangle has two congruent sides, i.e., two sides that are of equal length.


Are all sides congruent in an isosceles triangle?

No. An isosceles triangle has only two sides of equal length.


What is a issociales triangle?

An isosceles triangle is a triangle with 2 congruent sides. (2 sides are the same length)


Can a congruent triangle have 2 same sides?

congruent means equivalent. An equilateral triangle has 3 of the same sides, not two. Isosceles triangles can have 2 or 3 of the same length sides. Congruent isosceles triangles are impossible.I agree with most of the above answer but not the last sentence. It is possible to have congruent isosceles triangles. If the legs (sides) of triangle 1 are the same length as the legs of triangle 2, and the bases (third side) of the two triangles are the same length then the two isosceles triangles will be congruent.So the answer to the question is: yes, a congruent triangle can have two same length sides.


Are Base angles of an isosceles triangle are congruent?

Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.


Are all sides of an isosceles triangle are congruent?

No because only 2 of its 3 sides are congruent in an isosceles triangle but all 3 sides of an equilateral triangle are congruent.


What 2 sides of an isosceles triangle are congruent?

Opposite sides are of the same length whereas the base length is different


What is a congruent isosceles triangle?

isosceles triangle is a triangle in which 2 of the 3 sides are equal length. the third side can be any length. there are an infinite number of such triangles. congruent just means total equal to another triangle. you only say congruent when referring to two different triangles. or you can say any triangle is congruent to itself. so if you have two isosceles triangle that are identical, then each one is a congruent isosceles triangle


Is the isosceles triangle the only triangle with congruent sides and angles?

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.


How many congruent sides does a isosceles triangle have?

An isosceles triangle has two congruent sides.


The isosceles triangle theorem states that if two sides of a triangle are congruent then the opposite those sides are?

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.