How to find the height of an acute / obtuse triangle - ACT Math
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If the area of an isosceles triangle is 
and its base is 
, what is the height of the triangle?
If the area of an isosceles triangle is
Use the formula for area of a triangle to solve for the height:
Use the formula for area of a triangle to solve for the height:
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Find the height of the isosceles triangle above if the length of 
and 
. If your answer is in a decimal form, round to the nearest tenths place.
Find the height of the isosceles triangle above if the length of
Because this is an isosceles triangle, 
. Also, we know that the base of the triangle, 
. Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).
Thus we use the Pythagorean Theorem to find the length of the long arm:
Because this is an isosceles triangle,
Thus we use the Pythagorean Theorem to find the length of the long arm:
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The triangle above has an area of 
units squared. If the length of the base is 
units, what is the height of the triangle?
The triangle above has an area of
The area of a triangle is found using the formula
The height of any triangle is the length from it's highest point to the base, as pictured below:
We can find the height by rearranging the area formula:
The area of a triangle is found using the formula
The height of any triangle is the length from it's highest point to the base, as pictured below:
We can find the height by rearranging the area formula:
Compare your answer with the correct one above