the area of a triangle whose base and the corresponding altitude are 15 cm and 7cm the equal of area of a right triangle whose one of the sides containing the right angle is 10.5 cm find the other side of the triangle
Answers
0.5× 15×7=0.5×x×10.5
So solving x = 10 cm
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Step-by-step explanation:
Answer:
Given :-
Area of a triangle whose base and height are 15 cm and 4 cm is equal to area of a right angled triangle whose one of the side containg right angle is 20 cm
To Find :-
Other side
Solution :-
As we know that
\bf \red{Area \: of \: triangle = \frac{1}{2} \times b \times h}Areaoftriangle=
2
1
×b×h
\tt \implies Area = \dfrac{1}{2} \times 15 \times 4⟹Area=
2
1
×15×4
\tt \implies \: Area = 1 \times 15 \times 2⟹Area=1×15×2
\tt \implies \: Area = 30 \: {cm}^{2} ⟹Area=30cm
2
Now,
Let's find Area of second triangle
\bf \red{Area \: of \: triangle \: = \frac{1}{2} \times b \times h}Areaoftriangle=
2
1
×b×h
\tt \implies \: Area = \dfrac{1}{2} \times 20 \times h⟹Area=
2
1
×20×h
\tt \implies \: Area = 10 \times h \: ⟹Area=10×h
\tt \implies \: Area = 10h⟹Area=10h
Now,
Let's find height
\tt \implies30 = 10h⟹30=10h
\tt \implies \: h = \frac{30}{10} ⟹h=
10
30
Hence :-
Height is 3 cm