The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?
2 answers:
Answer:
The height of the triangle = 24 cm
Step-by-step explanation:
∵ The area of the triangle = 1/2 × base × height
∵ The length of the base = 5 times the length of the height
Let the length of the height = x, then length of the base = 5x
∴ Area triangle = 1/2 × 5x × x = 2.5 x²
∵ Area of the triangle = 1440 cm²
∴ 2.5 x² = 1440
∴ x² = 1440 ÷ 2.5 = 576
∴ x = √576 = 24 cm
∴ The height of the triangle = 24 cm
Answer: 24 cm
Step-by-step explanation:
The formula for calculate the area of a triangle is:

Where b is the base and h is the height.
Then if the base of the triangle is 5 times the height:

Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is:


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Solution:
<u>Note that:</u>
- 6x + 26 = 92 (Vertically opposite angle)
- 92 + 92 + z + z = 360
<u>Finding x.</u>
- 6x + 26 = 92
- => 6x = 92 - 26
- => 6x = 66
- => x = 11
<u>Finding z.</u>
- 92 + 92 + z + z = 360
- => 184 + 2z = 360
- => 2z = 360 - 184
- => 2z = 176
- => z = 176/2 = 88
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Answer:
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Step-by-step explanation:
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Answer:
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