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Sindrei [870]
3 years ago
10

Urgent help required with right triangle trig

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:


The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem


a²+b²=c² ← Since this is a square, a=b is a must

a²+a²=c² ← Combine like terms, and plug 26 in for c

2a²= 26² ← 26²=676, then divide 2 on both sides

a²= 676/2

a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²


Answer: 338 units²


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First Image:         Option D

Second Image:   Option D

Third Image:       Option C

Fourth Image:     Option B

Fifth Image:         Option B

Step-by-step explanation:

<u>First Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 47 = 133°
  • ? is an obtuse angle is any angle greater than 90° which checks the answer

<u>Second Image:</u>

  • A triangle angles adds up to 180°
  • Two angles are already given
  • 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Third Image:</u>

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  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Fourth Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 120 = 60°
  • we are shown a right angle which = 90°
  • A triangle adds up to 180°
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<u>Fifth Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
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  • ? is an obtuse angle is any angle greater than 90° which checks the answer

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