# Solving Mathematical Problems Involving Triangles (Math Problem Sample)

showing the correct solutions in solving math problems. allowing each step to have a detailed explanation to be presented to the students. like for example,

6. Proper aerobic exercise involves exercising at a person’s correct training heart rate. To

find the correct training heart rate the following formulas are used.

a. Training heart rate = (maximum heart rate – resting heart rate) × 0.65 + resting

heart rate

b. maximum heart rate = 220 – person’s age

Find the training heart rate for a 50-year-old with a resting heart rate of 65 beats per

Minute using the given formula.

Solution:

maximum heart rate = 220 – person’s age

= 220 – 50

= 170

Training heart rate = (maximum heart rate – resting heart rate) × 0.65 + resting

heart rate

= (170 – 65 beats/minute) x 0.65 + 65 beats/minute

= 105 beats/minute x 0.65 + 65 beats/minute

= 68.25 beats/minute + 65 beats/minute

= 133.25 beats/minute Final Answer

Student’s Name

Professor’s Name

Course Number

Date

Task 8

In the triangle, cm and cm. Given that the area of the triangle is

cm2, find the possible values of the angle.

Solution:

Using the Area

Substitute the given values and simplify.

3654 = 54sinB54 Divide both sides by 54.

Therefore, sin B = 23

Angle B = 41.80 or 138.20 Final Answer

Find the exact value of, giving your answer in the form

.

Solution:

Substitute the value of tan 300, sin 1350 and cos 2100

= 13 6 (12)+4 (-32) Simplify.

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