Download Solving Right Triangles

Solving Right
Triangles
Prepared by:
Marifosque, Trisha Anne
Collen
Magallanes, Mylene
•
A triangle is a 3sided polygon so
metimes (but not
very commonly)
called the trigon.
Every triangle
has three sides
and three
angles, some of
which may be
the same.
Kinds of Triangle according to
sides:
Equilateral Triangle
Three equal sides
Three equal angles, always
60°
Isosceles Triangle
Two equal sides
Two equal angles
Scalene Triangle
No equal sides
No equal angles
Kinds of Triangle according to
Angle:
Acute Triangle
All angles are less than 90°
Right Triangle
Has a right angle (90°)
Obtuse Triangle
Has an angle more than 90°
Right Triangles


Every right triangle
has one right angle,
two acute angles,
one hypotenuse and
two legs.
The side opposite
the right angle being
termed the
hypotenuse and the
other two sides being
known as the legs.
Solving Right Triangles
To
solve a right triangle, means
to determine the measures of
all six (6) parts. You can solve
a right triangle if the following
one of the two situations exist:
Two
side lengths
One side length and one acute
angle measure
Solving Right Triangles:
Pythagorean Theorem
 Example
1. Solve the right triangle ABC
given that side c = 25 cm and side b = 24
cm.
Solving Right Triangles:
45-45-90 Triangle

Example 2. The angle of elevation of an
airplane is 45∘​.​ If the airplane's altitude
is 2500 m, how far away is it?
x
450
2500ft
Solving Right Triangles:
30-60-90 Triangle
 Example
3. Solve the right triangle ABC
given that the hypotenuse is 14cm.
Solving Right Triangles:
 Example
4. Given an acute angle and
one side. Solve the right triangle ABC if
angle A is 36°, and side c is 10 cm.