ISEE Upper Level Math : How to find the area of a right triangle
Study concepts, example questions & explanations for ISEE Upper Level Math
All ISEE Upper Level Math Resources
Example Questions
Example Question #33 : Triangles
One angle of a right triangle measures 45 degrees, and the hypotenuse measures 8 centimeters. Give the area of the triangle.
This triangle has two angles of 45 and 90 degrees, so the third angle must measure 45 degrees; this is therefore an isosceles right triangle.
By the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let 
We can then plug this side length into the formula for area.
Example Question #31 : Right Triangles
The legs of a right triangle measure 
The hypotenuse of the triangle can be calculated using the Pythagorean Theorem. Set 
Add the three sidelengths:
Example Question #3 : How To Find The Area Of A Right Triangle
Figure NOT drawn to scale
The altitude of a right triangle from the vertex of its right angle - which, here, is 
making this the similarity ratio. The ratio of the areas of two similar triangles is the square of their similarity ratio, which here is
Example Question #35 : Triangles
Find the area of a right triangle with a base of 7cm and a height of 20cm.
To find the area of a right triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
We know the base of the triangle is 7cm. We know the height of the triangle is 20cm. Knowing this, we can substitute into the formula. We get
All ISEE Upper Level Math Resources
