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kvv77 [185]
3 years ago
12

Two triangles have the same area. One triangle has a base of 4 cm and a height of 7 cm. If the height of the other triangle is 1

4 cm, then what is its base length?
3 cm
2 cm
4 cm
5 cm​
Mathematics
2 answers:
Ksivusya [100]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

→ Work out the area of the first triangle

0.5 × 4 × 7 = 14

→ Set up an equation for the second base

0.5 × x × 14 = 14

→ Simplify

7x = 14

→ Divide both sides by 7

x = 2

soldi70 [24.7K]3 years ago
7 0

Answer:

option B = 2cm

Step-by-step explanation:

Area \ of \ first \ triangle = \frac{1}{2} \times  base_1 \times height_1  \ [ \where base_1 =  4\cm \ height_1 \ = 7cm \ ]

                                 =\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2

Given area of second triangle is same as first.

Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2  \ [ \ where  \ height _ 2 = 14cm \ ]

                           14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm

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