Chapter 10: Q. 150e (page 1206)

The width of a triangle is six more than twice the height. The area of the triangle is 88 square
yards. Find the height and width of the triangle.

Short Answer

Expert verified

height = 8 , width = 22

Step by step solution

Step 1. Given

width of a triangle is six more than twice the height , area = 88 sq. yards

Step 2. finding height and width .

Let height of triangle = h

width of triangle = w

Now, according to question

w = 2h + 6.

Given ,

$area = \frac{1}{2} (w) (h) = 88 \frac{1}{2} (2 h + 6) (h) = 88 h^{2} + 3 h - 88 = 0 h^{2} + 11 h - 8 h - 88 = 0 h (h + 11) - 8 (h + 11) = 0 (h - 8) (h + 11) = 0 h = 8 and h = - 11 (neglecting this value) Therefore height = 8 and width = 22 .$

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The width of a triangle is six more than twice the height. The area of the triangle is 88 square
yards. Find the height and width of the triangle.

Short Answer

Step by step solution

Step 1. Given

Step 2. finding height and width .

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The width of a triangle is six more than twice the height. The area of the triangle is 88 squareyards. Find the height and width of the triangle.

Short Answer

Step by step solution

Step 1. Given

Step 2. finding height and width .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Pure Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

The width of a triangle is six more than twice the height. The area of the triangle is 88 square
yards. Find the height and width of the triangle.