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Gelneren [198K]
3 years ago
13

The area of a triangle piece of stained glass is 50 centimeters if the height of the triangle is four times the base, how long a

re the height and base of the piece of stained glass
Mathematics
2 answers:
gavmur [86]3 years ago
7 0

Answer:

Base = 5 cm

Height = 20 cm

Step-by-step explanation:

Points to remember

Area of triangle = bh/2

Where b - base of triangle

h - Height of triangle

<u>To find the Height and Base of given triangle</u>

It is given that,area of a triangle piece of stained glass is 50 centimeters

the height of the triangle is four times the base

h = 4b

Area = bh/2

50 = (b * 4b)/2

100 = 4b²

b² = 100/4 = 25

b =√25 = ±5

b = 5 then h = 4b = 4 * 5 = 20

Base = 5 cm and Height = 20 cm

Veronika [31]3 years ago
5 0

ANSWER

base=5 cm, height = 20cm

EXPLANATION

The area of a triangle is

A =  \frac{1}{2} bh

From the question, A=50 and h=4b

We substitute into the formula to get;

\frac{1}{2} b \times 4b =5 0

This implies that,

2 {b}^{2}  = 50

{b}^{2}  = 25

Take positive square root to get;

b =  \sqrt{25}

b = 5

The base is 5 cm and the height is 20 cm.

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