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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