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Question

The area of an acute-angled triangle is 336 m2, and the sides are 26 m and 30 m. Find its base.

A
35 m
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B
28 m
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C
20 m
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D
46 m
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Solution

The correct option is B 28 m

Area of given ABC=336m2

Let base of ABC=bm

Now, S=26+30+b2=56+b2

ar =s(sa)(sb)(sc)

336=56+b2(56+b22b)(56+b230)(56+b2b)

336=(56+b2)(b+42)(b42)(56b2)=116(562b2)(b242)

(336)2=116(562b2)(b242)

16×112896=(3136b2)(b216)

3136b2b450176+16b2=1806336

b4+3152b2501761806336=0

b4+3152b21856512=0b43152b2+1856512=0

After solving, we get b=28m
Hence base =28m

944133_508827_ans_dd47259f529e4231b2dc4e60476fafe3.jpg

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