Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
<u>Given</u>
- tanθ = 3.454
- θ is in the III quadrant
We know in the III quadrant both sine and cosine are negative.
<u>Use the following identities to get values of sinθ and cos θ</u>
- sinθ = - tanθ/√(1 +tan²θ)
- cosθ = - 1/√(1 +tan²θ)
<u>Substitute the value of tanθ and find sine and cosine:</u>
- sinθ = - 3.454/√(1 + 3.454²) = - 0.961
- cosθ = - 1/√(1 + 3.454²) = - 0.278
Answer:
Step-by-step explanation:
From the picture attached,
In ΔABC and ΔGFE,
AC ≅ EG [Given]
BC ≅ EF [Given]
AB ≅ FG [Given]
By the SSS property of congruence, ΔABC ≅ ΔGFE
The two triangles are related by SSS property of congruence, so the triangles are congruent.
Answer:
5, 20 - 52 = x
6, x - 27 = 5
7, 4 + x = 6
8, 14 - x = 29
9, x - 54 = 12
10, x + 25 = 40
Step-by-step explanation:
hope this is what u wanted.
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