Engineering Board Exam Reviewer · Triangles · medium

A triangle has sides 7, 8, and 9. Find its area using Heron's formula.

  1. 26.83
  2. 24.00
  3. 30.24
  4. 22.45

Answer

A. 26.83

Solution

s=7+8+9/2=12. Area =sqrt(12(5)(4)(3))=sqrt(720) 26.83.

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  1. In triangle ABC, angle A=50° and angle B=70°. Find angle C and classify the triangle as acute, right, or obtuse.
  2. The base of an isosceles triangle is 12 cm and each of the two equal sides is 10 cm. Find the height (altitude to the base).
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  5. An isosceles triangle has a vertex angle of 50°. Find each base angle.
  6. Find the length of the hypotenuse of a right triangle with legs 9 and 12.
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